Allied & ICAR Exam Bank • ALLIED_0793 MCQ • 1 Mark

Section 1: Engineering Mathematics

Probability and Statistics

Subtopic: Probability rules and conditional probability

Question Statement:

If $A$ and $B$ are two independent events with probabilities $P(A) = 0.4$ and $P(B) = 0.5$, then $P(A \cup B)$ is:

Options:

  • (A) $0.70$
  • (B) $0.90$
  • (C) $0.20$
  • (D) $0.50$

Answer Key:

A

Step-by-Step Solution & Explanation

For independent events, $P(A \cap B) = P(A) P(B) = 0.4 \times 0.5 = 0.20$. Then $P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.4 + 0.5 - 0.20 = 0.70$.
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