Chinese restaurant, the card game

• Take two packs of 52 cards
• Separate out the same 5 cards from each pack
• Discard one set

Repeatedly

• Shuffle the other set and deal one card
• Take two matching cards from the remains of the two packs
• Add one to a column:
• If the dealt card matches one in an existing column add it to that column
• Otherwise create a new column
• Add the other and the dealt card to the shuffled cards

This game implements the Chinese restaurant process. The probability that a column grows is proportional to the number of cards that it already contains.