Alice, Bob and Cathy take turns at rolling a 6-sided die, in that order. The first player
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Question:
Alice, Bob and Cathy take turns at rolling a 6-sided die, in that order. The first player to roll a 6 wins the game. After that, the remaining two players keep rolling (in order) and the first among the two to roll a 6 is deemed to come second and the other player comes last.
(a) What is the probability that Alice wins?
(b) Given that Alice wins, what is the probability that Bob comes second?
(c) Given that Bob comes second, what is the probability that Cathy wins?
(d) What is the expected number of die rolls by Bob?
Related Book For
Statistics The Art and Science of Learning from Data
ISBN: 978-0321755940
3rd edition
Authors: Alan Agresti, Christine A. Franklin
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