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A club has 30 members: 15 boys and 15 girls. A 4-person committee is chosen at random. What is the probability that the committee has at least 1 boy and at least 1 girl?

 Mar 21, 2022
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A club has 30 members: 15 boys and 15 girls. A 4-person committee is chosen at random. What is the probability that the committee has at least 1 boy and at least 1 girl?

 

1- P(all girls) - P(all boys)

=\(=1-2*\frac{15C4}{30C4}\\ =1-2*\frac{1365}{27405}\\ =1-\frac{26}{261}\\ =\frac{235}{261}\)

 Mar 21, 2022

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