1. The problem statement, all variables and given/known data A box contains 2 red marbles, 2 green marbles, and 2 yellow marbles. Carol takes 2 marbles from the box at random; then Claudia takes 2 of the remaining marbles at random; and then Cheryl takes the last 2 marbles. What is the probability that Cheryl gets 2 marbles of the same color? a) 1/10 b) 1/6 c) 1/5 d) 1/3 e) 1/2 2. Relevant equations 3. The attempt at a solution I really just don't understand probability. Here is the solution to the problem: "If Cheryl gets 2 marbles of the same color, then Claudia and Carol must take all 4 marbles of the 2 other colors. The probability of this happening, given that Cheryl has 2 marbles of a certian color is . Since there are 3 different colors, our final probability is ." I don't understand how multiplying all of those fractions gives the probability of Claudia and Carol taking 4 marbles, I just really don't understand where all those fractions came from. If Cheryl gets 2 marbles of the same color, then wouldn't that only leave 3 other possible combinations for Claudia and Carol to choose from? This just makes no sense to me.