JEE Mathematics · Hard

Probability: Mixed MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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MixedHardQuestion 270018

Question

If A and B are independent, P(A) = 0.4, P(B) = 0.5, then P(A ∪ B) is:
  1. A
    0.7
    Correct
  2. B
    0.9
  3. C
    0.2
  4. D
    0.5

Correct answer

0.7

Explanation

P(A ∪ B) = P(A) + P(B) − P(A ∩ B) = 0.4 + 0.5 − (0.4 × 0.5) = 0.9 − 0.2 = 0.7.