Misc 17 - Chapter 13 Class 12 Probability

Transcript

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 .