A container holds 3 blue marbles, 4 red marbles, 6 green marbles, and 2 yellow marbles. If three marbles are drawn randomly, what is the chance that all three are blue?

Explanation

There are a total of 3 + 4 + 6 + 2 = 15 marbles. The number of ways to choose 3 marbles all blue is 3 choose 3 = 1. The total number of ways to select any 3 marbles is 15 choose 3 = 455. Therefore, the probability of drawing 3 blue marbles is 1/455.