What is the probability that 2 cans of regular cola and 1 can of diet cola are selected?

Question

randomly selecting 3 cans of regular and diet cola, but assume that there are 6 cans of regular cola and 8 cans of diet cola. 

Answer 1

This is an hypergeometric probability question.

_nC_r is the binomial coefficient of picking r from n.

The probability you want is ₆C₂ * ₈C₁ / ₁₄C₃.