Suppose that A and B are independent events with \( P(A)=\displaystyle\frac{1}{7} \) and \( P(B)=\displaystyle\frac{3}{7} \) , then \( P(A\cap B) \) is
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → \( \displaystyle\frac{3}{49} \)
For independent events, \( P(A\cap B)=P(A)\,P(B) \).
\( \displaystyle P(A\cap B)=\frac{1}{7}\times\frac{3}{7}=\frac{3}{49} \)