Thinking Mathematically (6th Edition)

$\frac{11}{57}$
If A, B and C are dependent events, then P(A,B, and C) = P(A)*P(B given that A occurred)*P(C given that A and B occurred) We find the probability of not selecting grape juice if we randomly select 3 cans. E: no grape juice. A: apple, orange, or mango juice. B: apple, orange, or mango juice, given that one is selected C: apple, orange, or mango juice, given that two are selected P(A) = $\frac{12}{20}$ P(B) =$\frac{11}{19}$ P(C) = $\frac{10}{18}$ P(E) = $\frac{12}{20}$ .$\frac{11}{19}$. $\frac{10}{18}$ =$\frac{11}{57}$