Question

If A and B are two independent events such that P(A) = `1/3` and P(B) = `1/4`, then `P(B^'/A)` is ______.

Options

• `1/4`

• `1/8`

• `3/4`

• 1

Answer 1

If A and B are two independent events such that P(A) = `1/3` and P(B) = `1/4`, then `P(B^'/A)` is `underlinebb(3/4)`.

Explanation:

Given, P(A) = `1/3`, P(B) = `1/4`

∴ P(B') = `1 - 1/4 = 3/4`

`P(B^'/A) = (P(B^' ∩ A))/(P(A))`

= `(P(B^')P(A))/(P(A))`

= `(3/4 xx 1/3)/(1/3)`

= `3/4`