A coin game that is occasionally played is“oddoneout”.In this game, there are rounds. In around, each person flips a coin. There is an odd person out in that round if all but one have H and the other has T, OR all but one have T and the other has H. (a) Three people play one round. What is the probability that there is an odd person out? (b) Now four people play one round. What is the probability that there is an odd person out? (c) Five people play until there is an odd person out. What is the expected number of rounds that they will play? (you can save yourself quite a lot of calculation by reading Sect. 5.1.3, if you don’t mind skipping ahead a bit).
A coin game that is occasionally played is“oddoneout”.In this game, there are rounds. In around, each person flips a coin. There is an odd person out in that round if all but one have H and the other has T, OR all but one have T and the other has H. (a) Three people play one round. What is the probability that there is an odd person out? (b) Now four people play one round. What is the probability that there is an odd person out? (c) Five people play until there is an odd person out. What is the expected number of rounds that they will play? (you can save yourself quite a lot of calculation by reading Sect. 5.1.3, if you don’t mind skipping ahead a bit).
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.FOM: Focus On Modeling: The Monte Carlo Method
Problem 3P: Dividing a JackpotA game between two players consists of tossing a coin. Player A gets a point if...
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A coin game that is occasionally played is“oddoneout”.In this game, there are rounds. In around, each person flips a coin. There is an odd person out in that round if all but one have H and the other has T, OR all but one have T and the other has H.
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(a) Three people play one round. What is the probability that there is an odd person out?
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(b) Now four people play one round. What is the probability that there is an odd person out?
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(c) Five people play until there is an odd person out. What is the expected number of rounds that they will play? (you can save yourself quite a lot of calculation by reading Sect. 5.1.3, if you don’t mind skipping ahead a bit).
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