Mark the correct alternative in each of the following: Let A and B be two events. If P(A) = 0.2, P(B) = 0.4, P(A ∪ B) = 0.6, then P(A/B) is equal to

Question

Philoid · Accepted Answer

P(A) = 0.2 , P(B) = 0.4 , P(A∪B) = 0.6 → (Given)

According to the addition theorem of probability,

P(A⋃B) = P(A) + P(B) – P(A⋂B)

0.6 = 0.2 + 0.4 – P(A∩B)

0.6 = 0.6 – P(A∩B)

P(A∩B) = 0 → (1)

Now,

= 0