John is going to graduate from an industrial engineering dep

John is going to graduate from an industrial engineering department in a university by the end of the semester. After being interviewed at two companies he likes, he assesses that his probability of getting an offer from company A is 0.8, and his probability of getting an offer from company B is 0.6. If he believes that the probability that he will get offers from both companies is 0.5, what is the probability that he will not get any offer from these two companies?

Solution

probability that he will not get any offer from these two companies = 1 - P( Get offer from A)P( Get offer from B) = 1 - (0.8)(0.6) = 0.52