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`

Answer 1

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`