SOLUTION: A co-ed soccer team has 9 women and 7 men on its roster. 6 players play on the field at one time. a) What is the probability the starting lineup will have 3 men and 3 women on

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Question 454512: A co-ed soccer team has 9 women and 7 men on its roster. 6 players play on the field at one time.
a) What is the probability the starting lineup will have 3 men and 3 women on it?
b) What is the probability the starting lineup will have at least 5 men on it
c) What is the expected number of women on the team?

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
a) (9C3 * 7C3)/16C6 = .3671
.
b) (7C6 + (7C5 * 9C1))/16C6 = .02448
.
c)7/16 * 6 = 2.625 expected number of women on the team.
.
Ed