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Miscellaneous
Misc 1 (ii)
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Misc 2 (ii)
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Misc 5 Important Deleted for CBSE Board 2022 Exams
Misc 6 Important Deleted for CBSE Board 2022 Exams
Misc 7 Important
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Misc 10 Important
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Misc 12
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Misc 17 (MCQ) Important
Misc 18 (MCQ)
Misc 19 (MCQ) You are here
Last updated at Aug. 11, 2021 by Teachoo
Misc 19 If A and B are any two events such that P(A) + P(B) P(A and B) = P(A), then (A) P(B|A) = 1 (B) P(A|B) = 1 (C) P(B|A) = 0 (D) P(A|B) = 0 Here P(A and B) = P(A B) Now, P(A) + P(B) P(A and B) = P(A) P(A) + P(B) P(A B) = P(A) P(B) P(A B) = P(A) P(A) P(B) P(A B) = 0 P(B) = P(A B) P(B) = P(A B) Dividing By P(B) 1 = ( ) ( ) ( ) ( ) = 1 Also, P(A|B) = ( ) ( ) So, P(A|B) = 1 Hence, Option (B) is Correct.