Assume you have applied for two jobs A and B The probability

Assume you have applied for two jobs A and B. The probability that you get an offer for job A is 0.23. The probabillity of being offered job B is 0.19. The probability of getting at least one of the jobs is 0.38. What is the probaility that you will be offered both jobs?

Solution

Here,

P(A) = 0.23
P(B) = 0.19
P(A U B) = 0.38

Thus,

P(A n B) = P(A) + P(B) - P( A U B) = 0.23 + 0.19 - 0.38

P(A n B) = 0.04 [ANSWER]