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Consider a best-of-5 series, where a total of five games are played, and whoever wins three...

Consider a best-of-5 series, where a total of five games are played, and whoever wins three or more games wins the series. Suppose that you participate in such a series, and the probability of you winning a game is 0.6. Assume that all games are played independently.

(a) What is the probability that you win the series?

(b) What is the probability that the fifth game is necessary? (i.e., 2-2 after game 4)

(c) Given that you had lost the first game of the series, what is the probability that your opponent wins the series?

(d) What is the probability that you win the series without winning any consecutive games?

Math   Statistics-And-Probability   
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