## Thinking Mathematically (6th Edition)

$\frac{8}{285}$
If A, B, and C are dependent events, then P(A and B and C) = P(A)*P(B given that A occurred)*P(C given that A and B occurred). E: a can of apple juice, then a can of grape juice, then a can of orange juice. A: apple juice. B: grape juice given that apple juice has been selected C: orange juice given that apple juice and grape juice have been selected P(A) = $\frac{6}{20}$ P(B) =$\frac{8}{19}$ P(C) = $\frac{4}{18}$ P(E) = $\frac{6}{20}$ .$\frac{8}{19}$. $\frac{4}{18}$ P(E)=$\frac{8}{285}$