Question

If A and B are events and \[P(A) \neq 0\], which expression gives \[P(B \mid A)\]?

Options

• \[P(B \mid A)=\frac{P(A\cap B)}{P(A)}\]

• \[P(B \mid A)=1-P(A)\]

• \[P(B \mid A)=P(A)-P(B)\]

• \[P(B \mid A)=\frac{P(A\cap B)}{P(B)}\]

Answer 1

For \[P(B\mid A)\], the condition is A, so \[P(A)\] is the denominator. This is generally different from \[P(A\mid B)\].