Question

5 hatfields and five McCoys are up for 3 jobs. What is the probability that all 3 jobs go to the hatfields?

Answer 1

`P =(1)/(12)`

Explanation:

The probability is defined as the number of ways to obtain the desired result among the number of possible outcomes.

The number of possible ways to select 3 hatfields from a group of 5 hatfields is:

`3C5 =(5!)/(3!(5-3)!) =10`

The number of ways to select 3 people from a group of 10 is:

`10C3 =(10!)/(3!(10-3)!) =120`

Then the probability is:

`P =(10)/(120)`

`P =(1)/(12)`