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Probability

Question
CBSEENMA12033626

If A and B are two events, such that P(A) ≠ 0 and P(B | A) = 1, then
  • A ⊂ B 
  • B ⊂ A
  • B = ϕ
  • A = ϕ

Solution

A.

A ⊂ B 

 straight P space left parenthesis straight B space left enclose straight A right parenthesis space equals space 1
rightwards double arrow space space space space space fraction numerator straight P left parenthesis straight B space intersection space straight A right parenthesis over denominator straight P left parenthesis straight A right parenthesis end fraction space equals space 1 space space space space space space space space space space space space space rightwards double arrow space space space space straight P left parenthesis straight B intersection straight A right parenthesis space equals space straight P left parenthesis straight A right parenthesis
rightwards double arrow space space space space space space space space space space space space space space space space space space space space space space space straight A space subset of straight B.

∴ (A) is correct answer.

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