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?
A) 0.10
B) 0.30
C) 0.70
D) 0.25

Question

Quizplus · Accepted Answer

The probability of not getting an offer at either job is calculated by finding the complement of getting at least one offer. The probability of getting at least one offer is P(A or B) = P(A) + P(B) - P(A and B) = 0.65 + 0.45 - 0.40 = 0.70. Therefore, the probability of not getting an offer at either job is 1 - 0.70 = 0.30.

Michael Has Interviewed for Two Jobs