Answer
$\frac{1}{57}$
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: three cans of apple juice.
A: apple juice
B: apple juice given that one has already been selected
C: apple juice given that two have already been selected
P(A) = $\frac{6}{20}$
P(B) =$\frac{5}{19}$
P(C) = $\frac{4}{18}$
P(E) = $\frac{6}{20}$ .$\frac{5}{19}$. $\frac{4}{18}$
P(E)=$\frac{1}{57}$