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Two teams A and B play a series of at most five games. The first team...

Two teams A and B play a series of at most five games. The first team to win these games win the series. Assume that the outcomes of the games are independent. Let p be the probability for team A to win each game. Let x be the number of games needed for A to win. Let the event Ak ={A wins on the kth trial}, k=3,4,5.

(a) What is P(A wins)?

Express the probability with p and k. Show your steps.

(b) If p=0.5, what is P(A wins)?

Math   Statistics-And-Probability   
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