Question

If A and B are two independent events with P(A) = `3/5` and P(B) = `4/9`, then P(A′ ∩ B′) equals ______.

Options

• `4/15`

• `8/45`

• `1/3`

• `2/9`

Answer 1

If A and B are two independent events with P(A) = `3/5` and P(B) = `4/9`, then P(A′ ∩ B′) equals `2/9`.

Explanation:

Given that: A and B are independent events

Such that P(A) = `3/5`

∴ P(A') = `1 - 3/5 = 2/5`

P(B) = `4/9`

∴ P(B') = `1 - 4/9 = 5/9`

∴ P(A' ∩ B′) = P(A') . P(B')

= `2/5*5/9`

= `2/9`