A plays B in a tournament. The one who wins three games first gets the tournament...

A plays B in a tournament. The one who wins three games first gets the tournament trophy. In each game, A's chance of winning is 0.75. Both A and B perform independently from game to game and there is no draw for any game.

a) Use a negative binomial distribution to calculate the probability that A gets the tournament trophy

b) Use a binomial distribution to calculate the probability that A gets the tournament trophy.

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