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Misc 17 - If P(B|A) = 1 - Chapter 13 Class 12 Probability CBSE

Misc 17 - Chapter 13 Class 12 Probability - Part 2
Misc 17 - Chapter 13 Class 12 Probability - Part 3 Misc 17 - Chapter 13 Class 12 Probability - Part 4

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Misc 17 If A and B arAe 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) Option A A ⊂ B A∩B=A So, P(A∩B)=P(A) Hence Option A is Correct. Option B B ⊂ A B ∩ A = B So, P(B ∩ A) = P(B) i.e. P(A ∩ B) = P(B) Hence, option B is incorrect. 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. Option D A = φ So, "P(A) = 0" But given "P(A) "≠" 0" Hence option D is incorrect . Therefore, Option A is correct

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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.