Question

Let A and B be independent events with `P(A) = 0. 3`and `P(B) = 0. 4`Find(i) `P(AnnB)` (ii) `P(AuuB)`(iii) `P (A|B) ` (iv) `P(B|A)` Select the correct answer from above options

Answer 1

Here, `P(A) = 0.3 and P(B) = 0.4` (i) `P(AnnB) =P(A).P(B) = 0.3**0.4 = 0.12 ` (ii) `P(AuuB) = P(A)+P(B)-P(AnnB) = 0.3+0.4-0.12 = 0.58` (iii)As, A and B are independent events, `P(A|B)` will be equal to `P(A)`. So, `P(A|B) = P(A) = 0.3` (iii)As, A and B are independent events, `P(B|A)` will be equal to `P(B)`. So, `P(B|A) = P(B) = 0.4`