Question

If A and B are two events and A ≠ Φ, B ≠ Φ, then ______.

Options

• P(A|B) = P(A).P(B)

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

• P(A|B).P(B|A)=1

• P(A|B) = P(A)|P(B)

Answer 1

If A and B are two events and A ≠ Φ, B ≠ Φ, then P(A|B) = `("P"("A" ∩ "B"))/("P"("B"))`.

Explanation:

Given that: A ≠ Φ and B ≠ Φ

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