Question

A and B are independent events. P(A) = 0.30 P(B) = 0.40 WHAT IS P(A/B)

Answer 1

P(A|B) = 0.3

Explanation:

`P(A|B)=(P(A\ \cap\ B))/(P(B))\\\\\text{A and B are independent events. Therefore}\ P(A\ \cap\ B)=P(A)\cdot P(B).\\\\\text{Substitute:}\\\\P(A|B)=(P(A)\cdot P(B))/(P(B))\qquad\text{cancel}\ P(B)\\\\P(A|B)=P(A)\to P(A|B)=0.3`