Question

Given P ( AB ) = 1

3 , P ( A + B ) = 2

3 , find P ( B ). What is

P ( A ), if P ( AB ) = 1

Answer 1

hii dear

ur answer


As most of the answers have pointed out, P (A and B) is necessarily 0 if A and B are mutually exclusive. Because the definition of “mutually exclusive” actually MEANS that the probability of P(A and B) is 0!!

However, I suspect the questioner really meant: What is the probability of A OR B if A and B are mutually exclusive?

If the events are mutually exclusive, then the probably of A OR B is:

P(A) + P(B) = 1/3 + 1/6 = 2/6 + 1/6 = 3/6 = 1/2.