For a game consisting of three players, the first among them to win 4 rounds will be the winner. The probability any one of them wins a round is 1/3 since they are equally matched. The players are forced to quit after 6 rounds,

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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For a game consisting of three players, the
first among them to win 4 rounds will be the
winner. The probability any one of them wins
a round is 1/3 since they are equally matched.
The players are forced to quit after 6 rounds,
with Player 1 (P1) having won 3 rounds, P2
having won 2 rounds, and P3 having won
only 1 round. At this point, what is the
probability of P3 winning the game?
Transcribed Image Text:For a game consisting of three players, the first among them to win 4 rounds will be the winner. The probability any one of them wins a round is 1/3 since they are equally matched. The players are forced to quit after 6 rounds, with Player 1 (P1) having won 3 rounds, P2 having won 2 rounds, and P3 having won only 1 round. At this point, what is the probability of P3 winning the game?
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