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Answer on Statistics and Probability Question for David sarmiento

Question #35783
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?
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