Question

If P(A) = $\frac{3}{5}$ and P(B) = $\frac{1}{5}$, find P (A ∩ B) if A and B are independent events.

Answer 1

If A and B are independent events than

P (A ∩ B) = P(A).P(B)

here given

$P(A) = \frac{3}{5} \\ \\ P(B) = \frac{1}{5}$

P (A ∩ B)

$= \frac{3}{5} \times \frac{1}{5} \\ \\ = \frac{3}{25}$

P (A ∩ B) = 3/25