If events and satisfy and

MATHEMATICS · Single correct · A Level · Mathematics · Probability · Probability

Problem

If events

A

and

B

satisfy

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

and

P(B)\neq0

, which one of the following statements is TRUE? (a)

P(A\mid B)=\dfrac{P(A)+P(B)}{2}

(b)

P(B\mid A)=P(B)

(c)

P(A\mid B)=P(A)

(d)

P(A\mid B)=P(B)