web analytics

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

Slide53.JPG
Slide54.JPG Slide55.JPG

  1. Chapter 13 Class 12 Probability
  2. Serial order wise
Ask Download

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 = 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 .

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.
Jail