Question

If P(A) = 3/10 , P (B) = 2/5 and P(A∪B) = 3/5 , then P (B | A) + P (A | B) equals

Answer 1

Answer:

7/12

Step-by-step explanation:

As we know,

P(A∩B) = P(A) + P(B) - P(A∪B)

            = 3/10 + 2/5 - 3/5

            = 1/10

Conditional Probability,

P(A/B) = P(A∩B)/P(B)

          = (1/10)/(2/5)

          = 1/4

and,

P(B/A) = P(A∩B)/P(A)

          = (1/10)/(3/10)

          = 1/3

Therefore, P(A/B) + P(B/A) = 1/4 + 1/3 = 7/12