Question
Asked Sep 26, 2019

There are nine women and four men on a committee. A subcommittee of three people is selected at random. What is the probability that all three people selected are women​, given that all three are the same​ gender?

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Step 1

All three people selected are women is denoted as A and all three are the same gender is denoted as B.

The probabili...

P(4B)=P(4 and B)
P(B)
P(all 3 people selected are womenn all 3 are the samegender)
P(all 3 are the women)+ P(all 3 are the men)
7
X
X
13 12 1
7
2
9
3
X
X
13 12 11
13 12 11
504
528
=0.95
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P(4B)=P(4 and B) P(B) P(all 3 people selected are womenn all 3 are the samegender) P(all 3 are the women)+ P(all 3 are the men) 7 X X 13 12 1 7 2 9 3 X X 13 12 11 13 12 11 504 528 =0.95

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