Combining astute observational abilities with skillful bluffing allows you to limit your opponents' options while opening up opportunities for yourself. Strategic Rummy Discardingrummy. noble. In Rummy, one of the most important decisions is whether to pick up or discard cards. Effective discarding necessitates foresight; players must think about how their discards might affect their opponents' strategies in addition to their current hand. For example, your chances of winning may suffer if you discard a card that completes an opponent's meld.