Question

11. A graduating senior seeking a job has interviews with two companies. After the interviews, he estimates that his chance of getting an offer from the first company is 0.6. He thinks he has a 0.5 chance with the second company, and that the probability that at least one will reject him is 0.8. What is the probability that he gets at least one offer?

Answer 1

Answer: 0.2

Explanation:

Let F denotes the event that graduate senior will get offer from the first company and S denotes the event that graduate senior will get offer from the second company .

Then, we have :
`P(F)=0.6`
`P(S)=0.5`

The probability that at least one will reject him ( neither first nor second ) =
`P(F'\cap S')=0.8`

Now,
`P(F\cup S)=1-P(F'\cap S')=1-0.8=0.2`

Hence, the probability that he gets at least one offer ( either first or second)= 0.2