Coin tosses, the card game

• Take two packs of 52 cards - pack A and pack B

Repeatedly

• Shuffle pack B and deal one card
• If it's a red card add a red card from pack A and lay it face up on the table
• If it's a black add a black card from pack A and lay it face up on the table
• Return the dealt cards to pack B

The game ends when, say, 26 cards have been dealt. There is an even chance that the number of red and black cards are the same.

This game implements problem 18, an even split at coin tossing, from Fifty Challenging Problems in Probability with Solutions by Frederick Mosteller. This game illustrates selection with replacement, if only one pack were used then it would be selection without replacement.