Question

If P(AnB)=2/3 and P(B)=3/4, what is P(A I B)? A.35/36 B.15/16 C.24/25 D.8/9

Answer 1

`\large\boxed{D.\ (8)/(9)}`

Explanation:

`\text{We know:}\\\\P(A|B)=(P(A\ \cap\ B))/(P(B))\\\\\text{We have:}\\\\P(A\ \cap\ B)=(2)/(3),\ P(B)=(3)/(4).\\\\\text{Substitute:}\\\\P(A|B)=((2)/(3))/((3)/(4))=(2)/(3):(3)/(4)=(2)/(3)\cdot(4)/(3)=(8)/(9)`