# Question

The Minnesota Twins are to play a series of 5 games in Boston against the Red Sox. For any one game it is estimated that the probability of a Twins' win is 0.5.

The outcomes of the 5 games are independent of one another.

a. What is the probability that the Twins will win all 5 games?

b. What is the probability that the Twins will win a majority of the 5 games?

c. If the Twins win the first game, what is the probability that they will win a majority of the five games?

d. Before the series begins, what is the expected number of Twins' wins in these 5 games?

e. If the Twins win the first game, what is the expected number of Twins' wins in the five-game series?

The outcomes of the 5 games are independent of one another.

a. What is the probability that the Twins will win all 5 games?

b. What is the probability that the Twins will win a majority of the 5 games?

c. If the Twins win the first game, what is the probability that they will win a majority of the five games?

d. Before the series begins, what is the expected number of Twins' wins in these 5 games?

e. If the Twins win the first game, what is the expected number of Twins' wins in the five-game series?

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