Question

A committee of eight math instructors and ten science instructors need to select two people from each group to send to a conference. What is the probability of selecting two math instructors and two science instructors?

Answer 1

Choosing two math instructors out of 8 would be

`P=(2)/(8)=(1)/(4)`

Choosing two science instructors out of 10 would be

`P=(2)/(10)=(1)/(5)`

Given that they are independent events, we multiply their probabilities

`P=(1)/(4)*(1)/(5)=(1)/(20)`

Hence, the probability of selecting two math instructors and two science instructors is 1/20.