Ann and Bill play rock-paper-scissors. Each has a strategy of choosing uniformly at random out of the three possibilities every round. (independently of the other player and the previous choices). (a) What is the probability that Ann wins the first round? (Remember that the round could end in a tie) (b) What is the probability that Ann's first win happens in the fourth round? (c) What is the probability that Ann's first win comes after the fourth round?
Ann and Bill play rock-paper-scissors. Each has a strategy of choosing uniformly at random out of the three possibilities every round. (independently of the other player and the previous choices). (a) What is the probability that Ann wins the first round? (Remember that the round could end in a tie) (b) What is the probability that Ann's first win happens in the fourth round? (c) What is the probability that Ann's first win comes after the fourth round?
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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Ann and Bill play rock-paper-scissors. Each has a strategy of choosing uniformly at random out of the three possibilities every round. (independently of the other player and the previous choices).
(a) What is the probability that Ann wins the first round? (Remember that the round could end in a tie)
(b) What is the probability that Ann's first win happens in the fourth round?
(c) What is the probability that Ann's first win comes after the fourth round?
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