SOLUTION: If there were 4 republicans and 5 democrats and a subcommittee of 2 representitives were formed, what would be the probability of both being republicans? P.S. This question is ba

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Question 424432: If there were 4 republicans and 5 democrats and a subcommittee of 2 representitives were formed, what would be the probability of both being republicans?
P.S. This question is based on using independent or dependent events.
Thank you!!!!!
Found 2 solutions by sudhanshu_kmr, Gogonati:
Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!

no. of ways to select 2 out of 9 = 9C2 = 36
no. of ways to select 2 republicans out of 4 = 4C2 = 6
probability = 6/36
= 1/6

Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
Solution: The set of all outcomes is C9,2=9X8/2=36
The set of outcomes that the subcommittee to be republican is:
C4,2=4X5/2=10
Therefore the probability that the subcommittee to be republican is:
P=10%2F36=5%2F18