{"id":1058,"date":"2022-04-13T12:02:45","date_gmt":"2022-04-13T12:02:45","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1058"},"modified":"2024-04-02T10:11:07","modified_gmt":"2024-04-02T10:11:07","slug":"experiment-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/experiment","title":{"rendered":"Experimental Probability"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-db1381f7-c824-41b7-ac6b-4a9232f8fefe\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/experiment#0-experimental-probability-introduction>Experimental Probability: Introduction<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/experiment#1-experimental-probability-definition>Experimental Probability: Definition<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/experiment#2-experimental-probability-formula>Experimental Probability Formula<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/experiment#7-solved-examples->Solved Examples<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/experiment#8-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/experiment#9-frequently-asked-questions>Frequently Asked Questions<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-experimental-probability-introduction\">Experimental Probability: Introduction<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">In mathematics, probability refers to the chance of occurrence of a specific event. Probability can be measured on a scale from 0 to 1. The probability is 0 for an impossible event. The probability is 1 if the occurrence of the event is certain.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">There are two approaches to study probability: experimental and theoretical.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Suppose you and your friend toss a coin to decide who gets the first turn to ride a new bicycle. You choose \u201cheads\u201d and your friend chooses \u201ctails.\u201d&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"404\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/heads-or-tails.png\" alt=\"Heads or tails\" class=\"wp-image-41640\" title=\"Heads or tails\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/heads-or-tails.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/heads-or-tails-300x195.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Can you guess who will win? No! You have $\\frac{1}{2}$ a chance of winning and so does your friend. This is theoretical since you are predicting the outcome based on what is expected to happen and not on the basis of outcomes of an experiment.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, what is the experimental probability? <strong>Experimental probability<\/strong> is calculated by repeating an experiment and observing the outcomes. Let\u2019s understand this a little better.<\/p>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/evaluate-algebraic-expressions-with-one-operation\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/algebra_evaluate_algebric_exp_1_pt.png\" alt=\"Evaluate Algebraic Expressions with One Operation Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Evaluate Algebraic Expressions with One Operation Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/evaluate-algebraic-expressions-with-two-operations\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/algebra_evaluate_algebric_exp_2_pt.png\" alt=\"Evaluate Algebraic Expressions with Two Operations Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Evaluate Algebraic Expressions with Two Operations Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/form-algebraic-expressions\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/algebra_choose_exp_1_pt.png\" alt=\"Form Algebraic Expressions Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Form Algebraic Expressions Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"1-experimental-probability-definition\">Experimental Probability: Definition<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Experimental probability, or empirical probability, is the probability calculated by performing actual experiments and gathering or recording the necessary information. How would you <strong>define an experiment? <\/strong>The<strong> math definition of an experiment <\/strong>is \u201ca process or procedure that can be repeated and that has a set of well-defined possible results or outcomes.\u201d<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"324\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/coin-flip-or-coin-toss.png\" alt=\"Coin flip or Coin toss\" class=\"wp-image-41641\" title=\"Coin flip or Coin toss\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/coin-flip-or-coin-toss.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/coin-flip-or-coin-toss-300x157.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Consider the same example. Suppose you flip the coin 50 times to see whether you get heads or tails, and you record the outcomes. Suppose you get heads 20 times and tails 30 times. Then the probability calculated using these outcomes is experimental probability. Here, t<strong>he experimental meaning<\/strong> is connected with such experiments used to determine the probability of an event.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Now that you know the meaning of <strong>experimental probability,<\/strong> let\u2019s understand&nbsp;its formula.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-experimental-probability-formula\">Experimental Probability Formula<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Experimental Probability for an Event A can be calculated as follows:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">P(E) $= \\frac{Number of occurance of the event A}{Total number of trials}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Let\u2019s understand this with the help of the last example.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"289\" height=\"150\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/frequency-table-of-the-trial-outcomes.png\" alt=\"Frequency table of the trial outcomes\" class=\"wp-image-41642\" title=\"Frequency table of the trial outcomes\"\/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">A coin is flipped a total of 50 times. Heads appeared 20 times. Now, what is the <strong>experimental probability <\/strong>of getting heads?<\/p>\n\n\n\n<p class=\"eplus-wrapper\">E<strong>xperimental probability <\/strong>of getting heads $= \\frac{Number of occurrences}{Total number of trials}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">P (Heads) $= \\frac{20}{50} = \\frac{2}{5}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">P (Tails) $= \\frac{30}{50} = \\frac{3}{5}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-experimental-probability-vs-theoretical-probability\">Experimental Probability vs. Theoretical Probability<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Theoretical probability expresses what is expected. On the other hand, experimental probability explains how frequently an event occurred in an experiment.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">If you roll a die, the theoretical probability of getting any particular number, say 3, is $\\frac{1}{6}$.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">However, if you roll the die 100 times and record how many times 3 appears on top, say 65 times, then the experimental probability of getting 3 is $\\frac{65}{100}$.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"325\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/experimental-probability-vs-theoretical-probability.png\" alt=\"Experimental probability vs. theoretical probability\" class=\"wp-image-41643\" title=\"Experimental probability vs. theoretical probability\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/experimental-probability-vs-theoretical-probability.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/experimental-probability-vs-theoretical-probability-300x157.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Theoretical probability for Event A can be calculated as follows:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">P(A) $= \\frac{Number of outcomes favorable to Event A}{Number of possible outcomes}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">In the example of flipping a coin, the theoretical probability of the occurrence of heads (or tails) on tossing a coin is<\/p>\n\n\n\n<p class=\"eplus-wrapper\">P(H) $= \\frac{1}{2}$ and&nbsp; P(T) $= \\frac{1}{2}$ (since possible outcomes are $2 -$ head or tail)<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-experimental-probability-examples\">Experimental Probability: Examples<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Let\u2019s take a look at some of the examples of <strong>experimental probability<\/strong>.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Example 1: Ben tried to toss a ping-pong ball in a cup using 10 trials, out of which he succeeded 4 times.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"318\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/experimental-probability-of-tossing-a-ping-pong-ball-in-a-cup.png\" alt=\"Experimental probability of tossing a ping-pong ball in a cup\" class=\"wp-image-41644\" title=\"Experimental probability of tossing a ping-pong ball in a cup\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/experimental-probability-of-tossing-a-ping-pong-ball-in-a-cup.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/experimental-probability-of-tossing-a-ping-pong-ball-in-a-cup-300x154.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">P(win) $= \\frac{Number of success}{Number of trials}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; $= \\frac{4}{10}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; $= \\frac{2}{5}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Example 2:&nbsp;Two students are playing a game of die. They want to know how many times they land on 2 on the dice if the die is rolled 20 times in a row.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"440\" height=\"78\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/rolling-a-die-20-times-table-of-outcomes.png\" alt=\"Rolling a die 20 times: table of outcomes\" class=\"wp-image-41645\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/rolling-a-die-20-times-table-of-outcomes.png 440w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/rolling-a-die-20-times-table-of-outcomes-300x53.png 300w\" sizes=\"auto, (max-width: 440px) 100vw, 440px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">The <strong>experimental probability <\/strong>of rolling a 2&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= \\frac{Number of times 2 appeared}{Number of trials}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= \\frac{5}{20}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= \\frac{1}{4}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-fun-facts\">Fun Facts!<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">1. Probability of an event always lies between 0 and 1.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">2. You can also express the probability as a decimal and a percentage.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Experimental probability <\/strong>is a probability that is determined by the results of a series of experiments. Learn more such interesting concepts at <a href=\"https:\/\/www.splashlearn.com\/?adCampaign=15938457564&amp;adGroup=136003246239&amp;adTag=splashlearn&amp;adID=619161893251&amp;ipad_blocker_disabled=1&amp;gclid=CjwKCAjw5P2aBhAlEiwAAdY7dN58Wkr10ndJUfftWypVH7Q6ymlOb0q6S5IKEgOX0nHjgKYc0qElfBoCvV0QAvD_BwE\">SplashLearn<\/a>.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-solved-examples-\"><strong>Solved Examples<\/strong><\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>1. Leo tosses a coin 25 times and observes that the \u201chead\u201d appears 10 times. What is the experimental probability of getting a head?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;P(Head) $= \\frac{Number of times heads appeared}{Total number of trials}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= \\frac{10}{25}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= \\frac{2}{5}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= 0.4$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>2. The number of cakes a baker makes per day in a week is given as 7, 8, 6, 10, 2, 8, 3. What is the probability that the baker makes less than 6 cakes the next day?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Number of cakes baked each day in a week $= 7, 8, 6, 10, 2, 8, 3$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Out of 7 days, there were 2 days (highlighted in bold) on which the baker made less than 6 cookies.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">P$(&lt; 6 $cookies$) = \\frac{2}{7}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>3. The chart below shows the number of times a number was shown on the face of a tossed die. What was the probability of getting a 3 in this experiment?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"259\" height=\"268\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/finding-experimental-probability-using-frequency-table.png\" alt=\"Finding experimental probability using frequency table\" class=\"wp-image-41646\"\/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Number of times 3 showed $= 7$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Number of tosses $= 30$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">P(3) $= \\frac{7}{30}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>4. John kicked a ball 20 times. He kicked 16 field goals and missed 4 times<\/strong>. <strong>What is the experimental probability that John will kick a field goal during the game?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">John succeeded in kicking 16 field goals. He attempted to kick a field goal 20 times.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, the number of trials $= 20$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">John\u2019s <strong>experimental probability <\/strong>of kicking a field goal $= \\frac{Successful outcomes} {Trials attempted} = \\frac{16}{20}$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= \\frac{4}{5}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= 0.8$ or $80%$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>5. James recorded the color of bikes crossing his street. Of the 500 bikes, 10 were custom colors, 100 were white, 50 were red, 120 were black, 100 were silver, 60 were blue, and 60 were gray. What is the probability that the car crossing his street is white?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Number of white bikes $= 100$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Total number of bikes $= 500$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">P(white bike) $=&nbsp; \\frac{100}{500} = \\frac{1}{5}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-practice-problems\">Practice Problems<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Experimental Probability<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">In a class, a student is chosen randomly in five trials to participate in 5 different events. Out of chosen students, 3 were girls and 2 were boys. What is the experimental probability of choosing a boy in the next event?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{3}{5}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{2}{3}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{3}{2}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{2}{5}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $\\frac{2}{5}$<br\/>Out of 5 selection trials, 2 times a boy got selected.<br>\r\nP (student selected is a boy) $= \\frac{2}{5}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">A manufacturer makes 1000 tablets every month. After inspecting 100 tablets, the manufacturer found that 30 tablets were defective. What is the probability that you will buy a defective tablet?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">30%<\/div><div class=\"spq_answer_block\" data-value=\"1\">100%<\/div><div class=\"spq_answer_block\" data-value=\"2\">5%<\/div><div class=\"spq_answer_block\" data-value=\"3\">2%<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 30%<br\/>Experimental Probability $=  \\frac{Number of defective tablets} {Total number of tablets inspected}$<br>\r\n$= \\frac{30}{100} = 30%$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">The 3 coins are tossed 1000 times simultaneously and we get three tails $= 160$, two tails $= 260$, one tail $= 320$, no tails $= 260$. What is the probability of occurrence of two tails?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">0.16<\/div><div class=\"spq_answer_block\" data-value=\"1\">0.32<\/div><div class=\"spq_answer_block\" data-value=\"2\">0.26<\/div><div class=\"spq_answer_block\" data-value=\"3\">0.23<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 0.26<br\/>Total number of trials $= 1000$<br>\r\nThree tails $= 160$, Two tails $= 260$, One tails $= 320$, No tails $= 260$<br>\r\nProbability of getting two tails $= \\frac{260}{1000} =  \\frac{26}{100} = 0.26$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">The table below shows the colors of shirts sold in a clothing store on a particular day and their respective frequencies. Use the table to answer the questions that follow. What is the probability of selling a blue shirt?<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/12\/Practice-Problems-4-1.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{1}{75}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{1}{5}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{1}{3}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{19}{25}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $\\frac{1}{3}$<br\/>Number of blue shirts sold $= 75$<br>\r\nTotal number of shirts sold $= 225$<br>\r\nP (Selling a Blue shirt) $= \\frac{75}{225} = \\frac{1}{3}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">Jason leaves for work at the same time each day. Over a period of 327 working days, on his way to work, he had to wait for a train at the railway crossing for 68 days. What is the experimental probability that Jason has to wait for a train on his way to work?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{60}{327}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{48}{327}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{68}{327}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{88}{327}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $\\frac{68}{327}$<br\/>Total number of working days  $=  327$<br>\r\nNumber of days Jason waited for a train at the railway crossing $=  68$<br>\r\nP (Jackson has to wait)  $= \\frac {68}{327}$<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Experimental Probability\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Experimental Probability\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"In a class, a student is chosen randomly in five trials to participate in 5 different events. Out of chosen students, 3 were girls and 2 were boys. What is the experimental probability of choosing a boy in the next event?\",\n                    \"text\": \"In a class, a student is chosen randomly in five trials to participate in 5 different events. Out of chosen students, 3 were girls and 2 were boys. What is the experimental probability of choosing a boy in the next event?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Out of 5 selection trials, 2 times a boy got selected.<br>\r\nP (student selected is a boy) $$= \\\\frac{2}{5}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{3}{5}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Out of 5 selection trials, 2 times a boy got selected.<br>\r\nP (student selected is a boy) $$= \\\\frac{2}{5}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{2}{3}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Out of 5 selection trials, 2 times a boy got selected.<br>\r\nP (student selected is a boy) $$= \\\\frac{2}{5}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{3}{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Out of 5 selection trials, 2 times a boy got selected.<br>\r\nP (student selected is a boy) $$= \\\\frac{2}{5}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{2}{5}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Out of 5 selection trials, 2 times a boy got selected.<br>\r\nP (student selected is a boy) $$= \\\\frac{2}{5}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Out of 5 selection trials, 2 times a boy got selected.<br>\r\nP (student selected is a boy) $$= \\\\frac{2}{5}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"A manufacturer makes 1000 tablets every month. After inspecting 100 tablets, the manufacturer found that 30 tablets were defective. What is the probability that you will buy a defective tablet?\",\n                    \"text\": \"A manufacturer makes 1000 tablets every month. After inspecting 100 tablets, the manufacturer found that 30 tablets were defective. What is the probability that you will buy a defective tablet?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Experimental Probability $$=  \\\\frac{Number of defective tablets} {Total number of tablets inspected}$$<br>\r\n$$= \\\\frac{30}{100} = 30%$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"100%\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Experimental Probability $$=  \\\\frac{Number of defective tablets} {Total number of tablets inspected}$$<br>\r\n$$= \\\\frac{30}{100} = 30%$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"5%\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Experimental Probability $$=  \\\\frac{Number of defective tablets} {Total number of tablets inspected}$$<br>\r\n$$= \\\\frac{30}{100} = 30%$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"2%\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Experimental Probability $$=  \\\\frac{Number of defective tablets} {Total number of tablets inspected}$$<br>\r\n$$= \\\\frac{30}{100} = 30%$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"30%\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Experimental Probability $$=  \\\\frac{Number of defective tablets} {Total number of tablets inspected}$$<br>\r\n$$= \\\\frac{30}{100} = 30%$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Experimental Probability $$=  \\\\frac{Number of defective tablets} {Total number of tablets inspected}$$<br>\r\n$$= \\\\frac{30}{100} = 30%$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The 3 coins are tossed 1000 times simultaneously and we get three tails $$= 160$$, two tails $$= 260$$, one tail $$= 320$$, no tails $$= 260$$. What is the probability of occurrence of two tails?\",\n                    \"text\": \"The 3 coins are tossed 1000 times simultaneously and we get three tails $$= 160$$, two tails $$= 260$$, one tail $$= 320$$, no tails $$= 260$$. What is the probability of occurrence of two tails?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Total number of trials $$= 1000$$<br>\r\nThree tails $$= 160$$, Two tails $$= 260$$, One tails $$= 320$$, No tails $$= 260$$<br>\r\nProbability of getting two tails $$= \\\\frac{260}{1000} =  \\\\frac{26}{100} = 0.26$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"0.16\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Total number of trials $$= 1000$$<br>\r\nThree tails $$= 160$$, Two tails $$= 260$$, One tails $$= 320$$, No tails $$= 260$$<br>\r\nProbability of getting two tails $$= \\\\frac{260}{1000} =  \\\\frac{26}{100} = 0.26$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"0.32\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Total number of trials $$= 1000$$<br>\r\nThree tails $$= 160$$, Two tails $$= 260$$, One tails $$= 320$$, No tails $$= 260$$<br>\r\nProbability of getting two tails $$= \\\\frac{260}{1000} =  \\\\frac{26}{100} = 0.26$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"0.23\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Total number of trials $$= 1000$$<br>\r\nThree tails $$= 160$$, Two tails $$= 260$$, One tails $$= 320$$, No tails $$= 260$$<br>\r\nProbability of getting two tails $$= \\\\frac{260}{1000} =  \\\\frac{26}{100} = 0.26$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"0.26\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Total number of trials $$= 1000$$<br>\r\nThree tails $$= 160$$, Two tails $$= 260$$, One tails $$= 320$$, No tails $$= 260$$<br>\r\nProbability of getting two tails $$= \\\\frac{260}{1000} =  \\\\frac{26}{100} = 0.26$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Total number of trials $$= 1000$$<br>\r\nThree tails $$= 160$$, Two tails $$= 260$$, One tails $$= 320$$, No tails $$= 260$$<br>\r\nProbability of getting two tails $$= \\\\frac{260}{1000} =  \\\\frac{26}{100} = 0.26$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The table below shows the colors of shirts sold in a clothing store on a particular day and their respective frequencies. Use the table to answer the questions that follow. What is the probability of selling a blue shirt?\",\n                    \"text\": \"The table below shows the colors of shirts sold in a clothing store on a particular day and their respective frequencies. Use the table to answer the questions that follow. What is the probability of selling a blue shirt? <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/12\/Practice-Problems-4-1.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Number of blue shirts sold $$= 75$$<br>\r\nTotal number of shirts sold $$= 225$$<br>\r\nP (Selling a Blue shirt) $$= \\\\frac{75}{225} = \\\\frac{1}{3}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{1}{75}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Number of blue shirts sold $$= 75$$<br>\r\nTotal number of shirts sold $$= 225$$<br>\r\nP (Selling a Blue shirt) $$= \\\\frac{75}{225} = \\\\frac{1}{3}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{1}{5}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Number of blue shirts sold $$= 75$$<br>\r\nTotal number of shirts sold $$= 225$$<br>\r\nP (Selling a Blue shirt) $$= \\\\frac{75}{225} = \\\\frac{1}{3}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{19}{25}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Number of blue shirts sold $$= 75$$<br>\r\nTotal number of shirts sold $$= 225$$<br>\r\nP (Selling a Blue shirt) $$= \\\\frac{75}{225} = \\\\frac{1}{3}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{1}{3}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Number of blue shirts sold $$= 75$$<br>\r\nTotal number of shirts sold $$= 225$$<br>\r\nP (Selling a Blue shirt) $$= \\\\frac{75}{225} = \\\\frac{1}{3}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Number of blue shirts sold $$= 75$$<br>\r\nTotal number of shirts sold $$= 225$$<br>\r\nP (Selling a Blue shirt) $$= \\\\frac{75}{225} = \\\\frac{1}{3}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Jason leaves for work at the same time each day. Over a period of 327 working days, on his way to work, he had to wait for a train at the railway crossing for 68 days. What is the experimental probability that Jason has to wait for a train on his way to work?\",\n                    \"text\": \"Jason leaves for work at the same time each day. Over a period of 327 working days, on his way to work, he had to wait for a train at the railway crossing for 68 days. What is the experimental probability that Jason has to wait for a train on his way to work?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Total number of working days  $$=  327$$<br>\r\nNumber of days Jason waited for a train at the railway crossing $$=  68$$<br>\r\nP (Jackson has to wait)  $$= \\\\frac {68}{327}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{60}{327}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Total number of working days  $$=  327$$<br>\r\nNumber of days Jason waited for a train at the railway crossing $$=  68$$<br>\r\nP (Jackson has to wait)  $$= \\\\frac {68}{327}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{48}{327}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Total number of working days  $$=  327$$<br>\r\nNumber of days Jason waited for a train at the railway crossing $$=  68$$<br>\r\nP (Jackson has to wait)  $$= \\\\frac {68}{327}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{88}{327}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Total number of working days  $$=  327$$<br>\r\nNumber of days Jason waited for a train at the railway crossing $$=  68$$<br>\r\nP (Jackson has to wait)  $$= \\\\frac {68}{327}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{68}{327}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Total number of working days  $$=  327$$<br>\r\nNumber of days Jason waited for a train at the railway crossing $$=  68$$<br>\r\nP (Jackson has to wait)  $$= \\\\frac {68}{327}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Total number of working days  $$=  327$$<br>\r\nNumber of days Jason waited for a train at the railway crossing $$=  68$$<br>\r\nP (Jackson has to wait)  $$= \\\\frac {68}{327}$$\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"9-frequently-asked-questions\">Frequently Asked Questions<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-76fc4295-425b-4d47-9d3c-b39b440bdff6\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-76fc4295-425b-4d47-9d3c-b39b440bdff6\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-76fc4295-425b-4d47-9d3c-b39b440bdff6\"><strong>What is the importance of experimental probability?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-76fc4295-425b-4d47-9d3c-b39b440bdff6\">\n\n<p class=\"eplus-wrapper\">Experimental probability is widely used in research and experiments in various fields, such as medicine, social sciences, investing, and weather forecasting.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-76fc4295-425b-4d47-9d3c-b39b440bdff6\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-76fc4295-425b-4d47-9d3c-b39b440bdff6\"><strong>Is experimental probability always accurate?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-76fc4295-425b-4d47-9d3c-b39b440bdff6\">\n\n<p class=\"eplus-wrapper\">Predictions based on <strong>experimental probability <\/strong>are less reliable than those based on theoretical probability.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-76fc4295-425b-4d47-9d3c-b39b440bdff6\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-76fc4295-425b-4d47-9d3c-b39b440bdff6\"><strong>Can experimental probability change every time the experiment is performed?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-76fc4295-425b-4d47-9d3c-b39b440bdff6\">\n\n<p class=\"eplus-wrapper\">Since the <strong>experimental probability <\/strong>is based on the actual results of an experiment, it can change when the results of an experiment change.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-76fc4295-425b-4d47-9d3c-b39b440bdff6\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-76fc4295-425b-4d47-9d3c-b39b440bdff6\"><strong>What is theoretical probability?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-76fc4295-425b-4d47-9d3c-b39b440bdff6\">\n\n<p class=\"eplus-wrapper\">The theoretical probability is calculated by finding the ratio of the number of favorable outcomes to the total number of probable outcomes.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Experimental Probability: Introduction In mathematics, probability refers to the chance of occurrence of a specific event. Probability can be measured on a scale from 0 to 1. The probability is 0 for an impossible event. The probability is 1 if the occurrence of the event is certain. There are two approaches to study probability: experimental &#8230; <a title=\"Experimental Probability\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/experiment\" aria-label=\"More on Experimental Probability\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-1058","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1058","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=1058"}],"version-history":[{"count":15,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1058\/revisions"}],"predecessor-version":[{"id":41647,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1058\/revisions\/41647"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1058"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1058"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1058"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}