If A and B are two independent events such that P(A) = 0.4, and P(B) = 0.5, then P(neither A nor B) is
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 0.30
“Neither A nor B” is the event \(A' \cap B'\). When A and B are independent, so are their complements:
\(P(A' \cap B') = P(A')\,P(B')\)
\(= (1 - 0.4)(1 - 0.5)\)
\(= 0.6 \times 0.5 = 0.30\)