SOLUTION: Of the nine city council members, four favour school vouchers and five are opposed. If a subcommittee of three council members is selected at random, what is the probability that e

Algebra ->  Probability-and-statistics -> SOLUTION: Of the nine city council members, four favour school vouchers and five are opposed. If a subcommittee of three council members is selected at random, what is the probability that e      Log On


   

Question 1072020: Of the nine city council members, four favour school vouchers and five are opposed. If a subcommittee of three council members is selected at random, what is the probability that exactly two of them favour school vouchers?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Exactly 2 is YYN,YNY,NYY
These will have the same denominator and the same numerator, ordered differently, which doesn't matter, since multiplication is commutative.
(4/9)(3/8)(5/7)=60/504*3=180/504 or 5/14.
(4/9)(5/8)(3/7)
(5/9)(4/8)(3/7)