Explanation Given Information: The number of getting 4 by rolling a die 300 times is equal to 50 times. Formula used: Binomial probability formula, P ( r success in n trials ) = r n C × ( p ) n × ( q ) n − r Where, p is the probability of success and q is the probability of failure. And, r n C represent selection of r events from n trials and is given as, r n C = n ! r ! ( n − r ) ! The property of probability: The sum of the probabilities of an event occurring and its complementary is always 1. Calculation: Consider the standard die. Total possible outcomes are { 1 , 2 , 3 , 4 , 5 , 6 } . Thus, the total numbers of possible outcomes is 6. And, there is only one chance of getting number 4 out of all six numbers by rolling a die once. Thus, the number of ways the event of getting a 4 occur is 1. Therefore, the probability of getting 4 by rolling a die once is 1 6 . Therefore, by the property of probability, the probability of getting any number except 4 by rolling a die once is 1 − 1 6 = 5 6

1st Edition

ISBN: 9781259218859

Author: David Sobecki Professor, Brian A. Mercer

Publisher: McGraw-Hill Education

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Chapter 2.1, Problem 4G

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How sure that the number of getting 4 by rolling a die 300 times is equal to 50 times.

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Chapter 2.1, Problem 3G

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How sure that the number of getting 4 by rolling a die 300 times is equal to 50 times.

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Chapter 2 Solutions