Question

Which statement correctly describes the numerator in \[P(A\mid B)=\frac{P(A\cap B)}{P(B)}\]?

Options

• \[P(A\cap B)\] represents all outcomes in the sample space.

• \[P(A\cap B)\] represents outcomes common to both events.

• \[P(A\cap B)\] represents outcomes in B but not in A.

• \[P(A\cap B)\] represents the complement of B.

Answer 1

The intersection \[A\cap B\] consists precisely of outcomes that belong to A and B. These are the favourable outcomes after the condition B is imposed.