Find the probability

Question

Find the probability of getting 2 boys in selecting 3 people from 4 boys and 3 girls. The answer must be rounded off to two decimal places.

Answer 1

P(selecting 2 boys and 1 girl from a population of 4 boys and 3 girls) =

the number of ways of selecting 2 of 4 boys and 1 of 3 girls/the number of ways of selecting 3 people from 7 people) =

C(4,2)*C(3,1)/C(7,3) =

6 * 3 / 35 =

18/35 =

.5143

Alternatively, we can use the hypergeometric distribution in a computer package such as Excel.

=hypgeom.dist(2,3,4,7,0) = .5143