Mark the correct alternative in each of the following:
If P(A) = 0.4, P(B) = 0.8 and P(B/A) = 0.6, then P(A ∪ B) =

Question

Mark the correct alternative in each of the following: If P(A) = 0.4, P(B) = 0.8 and P(B/A) = 0.6, then P(A ∪ B) =

Philoid · Accepted Answer

P(A) =0.4 , P =0.6 , P(B) = 0.8 → (Given)

P =0.6

P(A⋂B) = P(A) 0.6

P(A⋂B) = 0.4 0.6

P(A⋂B) = 0.24 → (1)

Now, according to the addition theorem of probability,

P(A⋃B) = P(A) + P(B) – P(A⋂B)

= 0.4 + 0.8 – 0.24 → From (1)

= 1.2 - 0.24

= 0.96

Mark the correct alternative in each of the following:If P(A) = 0.4, P(B) = 0.8 and P(B/A) = 0.6, then P(A ∪ B) =