There are 10 boys and 13 girls in Mr Bensons i fourthgrade c

There are 10 boys and 13 girls in Mr Benson\'s i fourth-grade class. A picnic committee of six| people is selected at random from the students in the class Express vour answer using the notations for the following questions What is the probabilitv that all the committee- members are girls\' What is the probability that the committce has three girls and three boys

Solution

total number of boys = 10

total number of girls = 13

by using permutations and combinations we can solve this problem.

Sol : 1. 13c6/23c6 = 52/3059 = 0.017

2. (10c3.13c3)/23c6

= ((10!/7!.3!).(13!/10!.3!)) / (23! / 7!.6!)

= 1040/3059 = 0.3

1.