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

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  1. Chapter 13 Class 12 Probability
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Misc 17 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 = (D) A = Given P(B|A) = 1 i.e. ( ) ( ) =1 = ( ) 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 = P(B) = 0 So, P(A) = 1 Since, B = P(A B) = 0 So, P(A B) P(A) Hence option C is Incorrect. Option D: A = So, P(A) = 0 But given P(A) 0 Hence option D is incorrect .

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