Question

Michael has interviewed for two jobs. he feels that he has a 65% chance of getting an offer on job a and a 45% chance of getting an offer on job b. he also believes there is a 40% chance of getting an offer on both jobs. what is the probability that he does not get an offer at either job? multiple choice

O 0.10
O 0.30
O 0.70
O 0.25

Answer 1

The probability that Michael does not get an offer from either job is 30%.

Step-by-step explanation:

To find the probability that Michael does not get an offer at either job, we need to find the complement of the probability that he gets an offer at least on one job. We can calculate this using the formula P(A' and B') = 1 - P(A or B).

First, let's calculate the probability that he gets an offer on job A: P(A) = 65%. Similarly, the probability of getting an offer on job B is P(B) = 45%. The probability of getting an offer on both jobs is P(A and B) = 40%.

Using the formula, we can calculate the probability that he gets an offer on at least one job:

P(A or B) = P(A) + P(B) - P(A and B) = 65% + 45% - 40%

= 70%

Therefore, the probability that Michael does not get an offer at either job is:

1 - P(A or B)

= 1 - 70%

= 30%