Answer
$\frac{8}{285}$
Work Step by Step
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)=$\frac{8}{285}$