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Misc 11 (MCQ) - Chapter 13 Class 12 Probability

Last updated at Aug. 16, 2023 by

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Misc 11 If A and B are two events such that P(A) ≠ 0 and P(B|A) = 1, then (A) A ⊂ B (B) B ⊂ A (C) B = φ (D) A = φ Given P(B|A) = 1 i.e. (𝑃(𝐴 ∩ 𝐵))/(𝑃(𝐴))=1 𝑷(𝑨∩𝑩)=𝑷(𝑨) Checking Option A A ⊂ B ∴ A∩B=A So, P(A∩B)=P(A) Hence, Option A is correct. Checking Option B B ⊂ A B ∩ A = B So, P(B ∩ A) = P(B) i.e. P(A ∩ B) = P(B) So, P(A ∩ B) ≠ P(A) Hence, option B is incorrect. Checking Option C B = φ P(B) = 0 So, P(A) = 1 Since, B = φ ∴ P(A ∩ B) = 0 So, P(A ∩ B) ≠ P(A) Hence, option C is Incorrect. Checking Option D A = φ So, "P(A) = 0" But given "P(A) "≠" 0" Hence, option D is incorrect . So, the correct answer is (a)

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.