Question

Q6. 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?

Answer 1

it means u have to find that probability in which they only lose 2 games out of 5

Answer 2

Use the binomial distribution
\[ \Pr(\text{ k wins out of n tries})= \left(\begin{matrix}n \\ k\end{matrix}\right) p^k (1-p)^{n-k}\]

in your problem n=5 , k=3
p= 0.5 ( 50% chance to win)
and 1-p is also 0.5