1.

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)`

Answer» 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`


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