problem solving

Question

There are 11 boys and 6 girls in the Art Club. If they randomly choose 7 representatives to display their work at the next art show, what is the probability that 4 boys and 3 girls will be chosen to display their work?

Answer 1

I am not going to do the arithmetic for you.

This is a straightforward application of the hypergeometric distribution.

 

₁₁C₄ * ₆C₃ / ₁₇C₇

 

where _nC_r is the binomial coefficient of r things selected from n