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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.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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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