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Last updated at Feb. 15, 2020 by Teachoo
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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
Miscellaneous
Misc 2 Important
Misc 3
Misc 4 Deleted for CBSE Board 2021 Exams only
Misc 5 Important Deleted for CBSE Board 2021 Exams only
Misc 6 Important Deleted for CBSE Board 2021 Exams only
Misc 7 Important
Misc 8 Important
Misc 9 Important Deleted for CBSE Board 2021 Exams only
Misc 10 Important
Misc 11 Important
Misc 12
Misc 13 Important
Misc 14 Important
Misc 15 Important
Misc 16 Important
Misc 17 Important You are here
Misc 18
Misc 19
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