Question

If P(A) = `4/5`, and P(A ∩ B) = `7/10`, then P(B|A) is equal to ______.

Options

• `1/10`

• `1/8`

• `7/8`

• `17/20`

Answer 1

If P(A) = `4/5`, and P(A ∩ B) = `7/10`, then P(B|A) is equal to `7/8`.

Explanation:

Given that: P(A) = `4/5`, and P(A ∩ B) = `7/10`

∴ P(B|A) = `("P"("A" ∩ "B"))/("P"("A"))`

= `(7/10)/(4/5)`

= `7/8`