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Consider a seven-game world series between team A and B, where for each game P(A wins)=0.6

a) Find P(A wins series in x game)

b) You hold a ticket for the seventh game. What is the probability that you will get to use it? .answer 0.2765

c) if P(A wins a game)=p, what value of p maximizes your chance in b)?answer p=1/2

d) what is the most likely number of games to be played in the series for p=0.6?

answer x=6

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