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Assume that players A, B and C have biased coins which have probabilities 0.8, 0.6 and 0.3 of landing heads respectively. Suppose the players flip their own coins. If the outcome of one player differs from the outcomes of the other two players, then the game ends and this player wins. Otherwise, they start over and flip their coins again. (a) Find the probability that the game will end at the first round. (b) Find the winning probability of the player A.

Assume that players A, B and C have biased coins which have probabilities 0.8, 0.6 and 0.3 of landing heads respectively. Suppose the players flip their own coins. If the outcome of one player differs from the outcomes of the other two players, then the game ends and this player wins. Otherwise, they start over and flip their coins again. (a) Find the probability that the game will end at the first round. (b) Find the winning probability of the player A.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Assume that players A, B and C have biased coins which have probabilities 0.8, 0.6 and 0.3 of landing heads respectively. Suppose the players flip their own coins. If the outcome of one player differs from the outcomes of the other two players, then the game ends and this player wins. Otherwise, they start over and flip their coins again. (a) Find the probability that the game will end at the first round. (b) Find the winning probability of the player A.
Transcribed Image Text:Assume that players A, B and C have biased coins which have probabilities 0.8, 0.6 and 0.3 of landing heads respectively. Suppose the players flip their own coins. If the outcome of one player differs from the outcomes of the other two players, then the game ends and this player wins. Otherwise, they start over and flip their coins again. (a) Find the probability that the game will end at the first round. (b) Find the winning probability of the player A.
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now with the understanding that the answer to part (a) is 0.8. what's the correct answer to part (b)?

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Follow-up Question

for part a) don't you need to consider the scenario in which each player wins with tails and the other 2 players get heads

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