# Q. 17.     If A and B are two events such that $\inline P(A\neq 0)$ and$\inline P(B\mid A)=1,$ then                Choose the correct answer of the following:                (A)  $\inline A\subset B$                (B)  $\inline B\subset A$                (C)  $\inline B=\phi$                (D)  $\inline A=\phi$

S seema garhwal

A and B are two events such that $\inline P(A\neq 0)$ and$\inline P(B\mid A)=1,$

$P(B|A)=\frac{P(B\cap A)}{P(A)}$

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

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

$\Rightarrow \, \, \, A\subset B$

Option A is correct.

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