Allied & ICAR Exam Bank • ALLIED_0093 MCQ • 1 Mark

Section 1: Engineering Mathematics

Probability and Statistics

Subtopic: Random variables

Question Statement:

If events $A$ and $B$ are mutually exclusive with $P(A) > 0$ and $P(B) > 0$, then $P(A \cap B)$ is:

Options:

  • (A) $0$
  • (B) $P(A) P(B)$
  • (C) $1$
  • (D) $P(A) + P(B)$

Answer Key:

A

Step-by-Step Solution & Explanation

Mutually exclusive events cannot occur simultaneously, so $A \cap B = \emptyset \implies P(A \cap B) = 0$.
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