# Nine qualified applicants apply for a part-time job. If the manager randomly hires 2 of them, what is the probability that he hires the 2 oldest?

##### 1 Answer
Oct 6, 2017

There is a $1$ in $72$ chance that the two oldest will be hired.

#### Explanation:

The probability of any one the $9$ applicants being selected is $\frac{1}{9}$

Once the first has been selected, there are now $8$ left fromwhich the second applicant can be chosen.

$P \left(\text{Oldest, Oldest}\right) = \frac{1}{9} \times \frac{1}{8} = \frac{1}{72}$