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📐 Mathematics  ·  Probability (Class 11)  ·  JEE

If A and B are events with P(A) = 0.5, P(B) = 0.3, what is the largest possible value of P(A ∩ B)?

Answer: 0.3.

  • A 0.15
  • B 0.3
  • C 0.5
  • D 0.8

Correct answer: B. 0.3

Explanation: The intersection cannot exceed either event, so P(A ∩ B) ≤ min(0.5, 0.3) = 0.3, attained when B ⊆ A.

Concept context

Random experiments, sample space, events, and the axiomatic approach to probability

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