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Question
If P(A ∩ B) = `7/10` and P(B) = `17/20`, then P(A|B) equals ______.
Options
`14/17`
`17/20`
`7/8`
`1/8`
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Solution
If P(A ∩ B) = `7/10` and P(B) = `17/20`, then P(A|B) equals `14/17`.
Explanation:
Given that: P(A ∩ B) = `7/10` and P(B) = `17/20`
∴ P(A|B) = `("P"("A" ∩ "B"))/("P"("B"))`
= `(7/10)/(17/20)`
= `14/17`
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