Developing Your Rummy Skills. Even though the rules might appear simple, mastering Rummy calls for strategic thinking & foresight. An efficient tactic is to closely observe your opponents' discards, as thibappa rummys can reveal important information about their hands and possible melds. Players should also try to maintain the flexibility of their hands by discarding cards that are unlikely to be part of their winning combinations & keeping high-value cards that are easily melded. Knowing when to play defensively versus when to go for a quick win can have a big impact on the game's outcome, so timing is also essential.