If and are two events such that and

MATHEMATICS · Single correct · CBSE · Mathematics · Probability · Probability

Problem

14. If

A

and

B

are two events such that

A \subset B

and

P(B) \neq 0

, then which of the following is correct? (A)

\mathrm{P}(\mathrm{A} \mid \mathrm{B})=\frac{\mathrm{P}(\mathrm{B})}{\mathrm{P}(\mathrm{A})}

(B)

\mathrm{P}(\mathrm{A} \mid \mathrm{B})<\mathrm{P}(\mathrm{A})

(C)

\mathrm{P}(\mathrm{A} \mid \mathrm{B}) \geq \mathrm{P}(\mathrm{A})

(D) None of these