Question

The u.s. senate consists of 100 members, 2 from each state. A committee of five senators is formed. What is probability it contains one senator from your state?

Answer 1

The probability is 9.80%.

Explanation:

The u.s. senate consists of 100 members, 2 from each state.

A committee of five senators is formed.

P(at least one from Your state) = 1-
`(98c5)/(100c5)`

= 1-
`(67910864)/(75287520)`

=
`1-0.9020`

= 0.098

That is, 9.80%.