Question

A students is going to graduate from a business department of 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 0.6, and his probability of getting an offer from company B is 0.45. If he believes that the probability that he will get offers from both companies is 0.35, what is the probability that he will get at least one offer from these two companies?

Answer 1

$$P(A\cup B)=P(A)+P(B)-P(A\cap B)$$

$$P(A\cup B)=0.6+0.45-0.35=0.7$$

The probability that he will get at least one offer from these two companies is 0.7