Allied & ICAR Exam Bank • ALLIED_0095 MCQ • 1 Mark

Section 1: Engineering Mathematics

Probability and Statistics

Subtopic: Random variables

Question Statement:

Two events $A$ and $B$ are statistically independent if and only if:

Options:

  • (A) $P(A \cap B) = P(A) P(B)$
  • (B) $P(A \cup B) = P(A) + P(B)$
  • (C) $P(A|B) = 0$
  • (D) $P(A \cap B) = 0$

Answer Key:

A

Step-by-Step Solution & Explanation

Statistical independence is defined by product multiplication of marginal probabilities: $P(A \cap B) = P(A) P(B)$.
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