Matches, the card game

• Take one packs of 52 cards
• Remove the ace to 8 of hearts and the ace to 8 of clubs, discard the rest

Repeatedly

• Shuffle the pack and deal one card
• If it's a heart place it face up in the upper row
• If it's a club place it face up in the lower row

How many of the columns match by rank?

This game implements problem 45, average number of matches, from Fifty Challenging Problems in Probability with Solutions by Frederick Mosteller.