SOLUTION: Suppose that the New England Colonials baseball team is equally likely to win a game as not to win It. If 5 Colonials games are chosen at random, what is the probability that exact

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Question 1201222: Suppose that the New England Colonials baseball team is equally likely to win a game as not to win It. If 5 Colonials games are chosen at random, what is the probability that exactly 3 of those games are won by the Colonials ? Round your response to at least three decimal places .
Answer by ikleyn(52903) About Me  (Show Source):
You can put this solution on YOUR website!
.

A binomial experiment with the number of trials n=5;  
                           the probability of success of an individual trial p= 0.5;
                           the number of success trials k=3.


Use the standard formula

    P = C%5B5%5D%5E3%2Ap%5Ek%2A%281-p%29%5E%285-k%29 = %28%285%2A4%29%2F%281%2A2%29%29%2A0.5%5E3%2A0.5%5E2 = 10%2F2%5E5 = 10%2F32 = 0.3125.    ANSWER

Solved.