At the end of regulation time, a basketball team is trailing by one point and a player goes to the line forfree throws. If the player makes exactly one free throw, the game goes into overtime. The probabilitythat the first free throw is good is ½. However, if the first attempt is good, the player relaxes and thesecond attempt is good with probability %. However, if the player misses the first attempt, the addedpressure reduces the success probability to ¼. What is the probability that the game goes overtime?(Hint: You obviously can see the dependence between the first and the second shot, your solutionshould be done using the conditional probability concept)

Answered: Image /qna-images/answer/839aa019-26de-426a-a48b-9b50a6c1dd06.jpg

At the end of regulation time, a basketball team is trailing by one point and a player goes to the line for free throws. If the player makes exactly one free throw, the game goes into overtime. The probability that the first free throw is good is ½. However, if the first attempt is good, the player relaxes and the second attempt is good with probability ¾. However, if the player misses the first attempt, the added pressure reduces the success probability to ¼. What is the probability that the game goes overtime? (Hint: You obviously can see the dependence between the first and the second shot, your solution should be done using the conditional probability concept)

At the end of regulation time, a basketball team is trailing by one point and a player goes to the line for free throws. If the player makes exactly one free throw, the game goes into overtime. The probability that the first free throw is good is ½. However, if the first attempt is good, the player relaxes and the second attempt is good with probability ¾. However, if the player misses the first attempt, the added pressure reduces the success probability to ¼. What is the probability that the game goes overtime? (Hint: You obviously can see the dependence between the first and the second shot, your solution should be done using the conditional probability concept)

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.3: Binomial Probability

Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...

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