Calculate your expected winnings (or losses) if you throw away all but the J and K♣. This means you get rid of 4, 5♠, 6♠. You might get a pair, 2-pair, 3-of-a-kind, 4-of-a-kind, full house, straight, or nothing. We will let R be the set of cards {2,3,7,8,9,10,Q,A} and S be the set of {4,5,6} that don't include 4, 5♠, 6♠.