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Probability

Independent Events, Union of Events

jee_main_2026_jan_22_shift_1

Grade None

Question:

If \(A\) and \(B\) are independent with \(P(A) = 0.3\) and \(P(B) = 0.4\), find \(P(A \cup B)\).

A. 0.12

B. 0.48

C. 0.58

D. 0.72

Step-by-Step Solution

Key Concept: P(A∪B) = P(A) + P(B) - P(A)P(B).

Step 1: P(A∪B) = 0.3 + 0.4 - (0.3)(0.4) = 0.7 - 0.12 = 0.58.

Correct Answer: C

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