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Probability

Independent Events, Union of Events

jee_main_2026_april_8_shift_2

Grade None

Question:

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

A. 0.42

B. 0.52

C. 0.58

D. 0.62

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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