A bin contains 25 balls: 10 red, 8 yellow, and 7 blue. We draw three balls at random (without looking!) from the bin, and we will say that we "win" if our three balls represent exactly two colors. (That is, we "win" if we draw two balls of one color and another ball of a different color.)

What is the probability of winning in this particular game?

(In reply to Solution: With and Without Replacement by Russ)

"With that said, you lose when you draw 1 of each color (RYB)."

This is not actually true... you also lose if you draw all of the same colour...!

Posted by Syzygy on 2008-09-26 10:27:32