Mark the correct alternative in each of the following: Let A and B be two events such that P(A) = 0.6, P(B) = 0.2 and P(A/B) = 0.5. Then equals.

Question

Philoid · Accepted Answer

P(A) = 0.6 , P(B) = 0.2 , P = 0.5 → (Given)

→ (1)

= 1 – 0.2

= 0.8

Also,

= 1 – P(A⋃B) → (3)

Using (2) & (3) in Equation (1) we get,

→ (3)

Now,

P(A∩B) = 0.5 P(B) → From (Given)

P(A∩B) = 0.5 0.2

P(A∩B) = 0.1

According to the addition theorem of probability,

P(A⋃B) = P(A) + P(B) – P(A⋂B)

= 0.6 + 0.2 – 0.1

= 0.8 – 0.1

= 0.7 → (4)

Putting (4) in equation (3) we get,