Ex 13.1, 17 - If A and B are events such that P(A|B) = P(B|A) - Ex 13.1

  1. Chapter 13 Class 12 Probability
  2. Serial order wise
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Ex 13.1, 17 choose the correct answer: If A and B are events such that P(A|B) = P(B|A), then (A) A ⊂ B but A ≠ B (B) A = B (C) A ∩ B = φ (D) P(A) = P(B) P(A|B) = P(B|A) 𝑃(𝐴 ∩ 𝐵)﷮𝑃(𝐴)﷯ = 𝑃(𝐵 ∩ 𝐴)﷮𝑃(𝐵)﷯ 𝑃(𝐴 ∩ 𝐵)﷮𝑃(𝐴)﷯ = 𝑃(𝐴 ∩ 𝐵)﷮𝑃(𝐵)﷯ 1﷮𝑃(𝐴)﷯ = 1﷮𝑃(𝐵)﷯ ∴ P(A) =P(B) So, option (D) is correct

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