By carefully arranging sets and runs to produce winning combinations, players alternately draw and discard cards. Keeping a close eye on the cards your opponents are discarding is one of the most important rummy tactics. It is helpfulsatta-king result to keep track of which cards are being discarded in order to determine which ones are safe to pick up and which ones should be left alone. The Art of Discarding: A Mastery. You also want to be careful about which cards you are discarding so that you don't unintentionally give your opponents an advantage. As you gain more rummy playing experience, you'll learn when to hold onto particular cards and when to discard them, which will increase your chances of winning.