Question

You recently interviewed for two different summer accounting jobs. You estimate that the chance of get- ting an offer for job A is about 60% and the chance of getting an offer for job B is 50%. Assuming that job offers are statistically independent, how likely is it that you are offered both job ?

Answer 1

30%

Explanation:

Since job A an B are statistically independent, the two events can occur without affecting each other. The probability of getting both jobs is obtained by multiplying the individual probability of getting each job.

The probability of getting job A = 60%

=
`(60)/(100)`

=
`(6)/(10)`

= 0.6

The probability of getting job B = 50%

=
`(50)/(100)`

=
`(5)/(10)`

= 0.5

The probability of getting both jobs = The probability of getting job A x The probability of getting job B

The probability of getting both jobs = 0.6 x 0.5

= 0.3

In percentage,
`(3)/(10)` × 100

= 30%

The probability of getting both jobs = 30%