Mark the correct alternative in each of the following:
Associated to a random experiment two events A and B are such that P(B) = 3/5, P(A/B) = 1/2 and P(A ∪B) = 4/5. The value of P(A) is

Question

Mark the correct alternative in each of the following: Associated to a random experiment two events A and B are such that P(B) = 3/5, P(A/B) = 1/2 and P(A ∪ B) = 4/5. The value of P(A) is

Philoid · Accepted Answer

According to the addition theorem of probability for two events A and B we have,

P(A⋃B) = P(A) + P(B) – P(A⋂B)

P(A) + P(B) – P(A⋂B) = → (1)

Now,

→ (Given)

Now using Equation (1),

Mark the correct alternative in each of the following:Associated to a random experiment two events A and B are such that P(B) = 3/5, P(A/B) = 1/2 and P(A ∪B) = 4/5. The value of P(A) is

Mark the correct alternative in each of the following:
Associated to a random experiment two events A and B are such that P(B) = 3/5, P(A/B) = 1/2 and P(A ∪B) = 4/5. The value of P(A) is