Check sibling questions


Slide38.JPG Slide39.JPG

Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


Misc 11 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 = φ (D) A = φ Given P(B|A) = 1 i.e. (𝑃(𝐴 ∩ 𝐵))/(𝑃(𝐴))=1 𝑷(𝑨∩𝑩)=𝑷(𝑨) Checking Option A A ⊂ B ∴ A∩B=A So, P(A∩B)=P(A) Hence, Option A is correct. Checking Option B B ⊂ A B ∩ A = B So, P(B ∩ A) = P(B) i.e. P(A ∩ B) = P(B) So, P(A ∩ B) ≠ P(A) Hence, option B is incorrect. Checking 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. Checking Option D A = φ So, "P(A) = 0" But given "P(A) "≠" 0" Hence, option D is incorrect . So, the correct answer is (a)

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

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.