Question

Which statement is the multiplication rule for two events A and B?

Options

• \[P(A\cap B)=P(B)\cdot P(A\mid B)=P(A)\cdot P(B\mid A)\]

• \[P(A\cap B)=P(A\mid B)+P(B\mid A)\]

• \[P(A\cap B)=P(A)+P(B)\]

• \[P(A\cap B)=1-P(A\mid B)\]

Answer 1

The multiplication rule expresses an intersection using a conditional probability. Either event can be used as the given condition, with its corresponding probability as the factor.