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If A and B are two events such that P(A) \neq 0 and P(B \mid A)=1, then A. A \subset B
B. B \subset A
C. B=\phi
D.\mathbf{A}=\boldsymbol{\phi}
CBSE | Class 12 | Maths | NCERT | Probability
If A and B are two events such that P(A) \neq 0 and P(B \mid A)=1, then A. A \subset B
B. B \subset A
C. B=\phi
D.\mathbf{A}=\boldsymbol{\phi}

Solution:

Answer: A. A \subset B

Explanation:

The following information is provided in the question:

A and B are two examples of situations in which,

P(A) \neq 0

And, \mathrm{P}(\mathrm{B} \mid \mathrm{A})=1

\therefore P(B \mid A)=\frac{P(B \cap A)}{P(A)}

1=\frac{P(B \cap A)}{P(A)}

P(A)=P(B \cap A)

\therefore A \subset B

 

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