Question: compute the probability that the first outcome appears , times, the rth xr times, where al + x2 + .. . + , = n.

compute the probability that the first outcome appears , times, the rth xr times, where al + x2 + .. . + , = n. 3. Suppose that two teams A and B are playing a series of games, each of which is independently won by team A with probability p and by team B with probability 1 - p. The winner of the series is the first team to win i games. If i = 4, find the probability that a total of 7 games are played. Also show that this probability is maximized when p = 1/2

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