Calculate your expected winnings (or losses) if you throw away all but the K. You might get a pair, 2-pair, 3-of-a-kind, 4-of-a-kind, full house, straight, flush, straight-flush, royal flush, or nothing.


So now we have discarded J, 4, 5♠, 6♠ and we are keeping the K♣. Let R be the set of cards {2,3,7,8,9,10,Q,A} which are still in the deck, and S be the set of {J, 4, 5, 6} which are still in the deck (not the ones we have discarded). Here is how we can complete the hand: