If A and B are two independent events with $P(A) = \frac{3}{5}$ and $P(B) = \frac{4}{9}$, then P(A' ∩ B') is equal to
Answer & explanation
Correct answer: option 4
$P(B) = \frac{4}{9}$
A, B → independent
⇒ A', B' → also independent
So P(A' ∩ B') = P(A') P(B') = (1 - P(A)) (1 - P(B))
= $(1-\frac{3}{5})(1-\frac{4}{9})$
= $\frac{2}{3} × \frac{5}{9}$
= $\frac{2}{9}$