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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
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Solution
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`
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