Allied & ICAR Exam Bank • ALLIED_1047 MCQ • 1 Mark

Section 1: Engineering Mathematics

Probability and Statistics

Subtopic: Joint probability

Question Statement:

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

Options:

  • (A) 0.7
  • (B) 0.9
  • (C) 0.2
  • (D) 0.6

Answer Key:

A

Step-by-Step Solution & Explanation

For independent events, $P(A \cap B) = P(A)P(B) = 0.4 \times 0.5 = 0.2$. Then $P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.4 + 0.5 - 0.2 = 0.7$.
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