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Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


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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

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.