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Three players, A, B, and C, take turns to roll a die; they do this in the order ABCABCA.... (a) Show that the probability that, of the three players, A is the first to throw a 6, B the second, and C the third, is 216/1001. (b) Show that the probability that the first 6 to appear is thrown by A, the second 6 to appear is thrown by B, and the third 6 to appear is thrown by C, is 46656/753571.

Three players, A, B, and C, take turns to roll a die; they do this in the order ABCABCA.... (a) Show that the probability that, of the three players, A is the first to throw a 6, B the second, and C the third, is 216/1001. (b) Show that the probability that the first 6 to appear is thrown by A, the second 6 to appear is thrown by B, and the third 6 to appear is thrown by C, is 46656/753571.

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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Three players, A, B, and C, take turns to roll a die; they do this in the order ABCABCA.... (a) Show that the probability that, of the three players, A is the first to throw a 6, B the second, and C the third, is 216/1001. (b) Show that the probability that the first 6 to appear is thrown by A, the second 6 to appear is thrown by B, and the third 6 to appear is thrown by C, is 46656/753571.
Transcribed Image Text:Three players, A, B, and C, take turns to roll a die; they do this in the order ABCABCA.... (a) Show that the probability that, of the three players, A is the first to throw a 6, B the second, and C the third, is 216/1001. (b) Show that the probability that the first 6 to appear is thrown by A, the second 6 to appear is thrown by B, and the third 6 to appear is thrown by C, is 46656/753571.
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