Question

Use the general multiplication rule to solve for the given probability model. For events A and B, calculate P(A∩B) given the following information: P(B)=0.70 and P(A I B)=0.45

Answer 1

$\begin{gathered} P(A\cap B)=P(A|B)\cdot P(B) \\ \\ P(A\cap B)=0.45\cdot0.7 \\ P(A\cap B)=0.315 \end{gathered}$