Answer to Question #35783 in Statistics and Probability for David sarmiento

Question

I put 32 chess pieces in a hat. I then proceeded to pull them out 2 at a time. If they are both black I put them in one pile. If they are both white, I put them in a second pile. If there is one of each color, I put them in a thrid pile. What is the probability that the number of pieces in the all black pile and the all white pile are equal?