# Answer to Question #22699 in Algebra for Probability

Question #22699

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?

Expert's answer

Chess set has 32 pieces: 16 black and 16 white.

We have initially equal number of black and white pieces. We also have a third pile equal number of black and white pieces.

So it will always equal number of pieces in a black pile and number of pieces in a white pile.

The probability that the number of parts in all black pile and heaps of all the white pile is equal are& one.

P=1

Answer:p=1.

We have initially equal number of black and white pieces. We also have a third pile equal number of black and white pieces.

So it will always equal number of pieces in a black pile and number of pieces in a white pile.

The probability that the number of parts in all black pile and heaps of all the white pile is equal are& one.

P=1

Answer:p=1.

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