Players can use this information to make better decisions about which cards to draw or discard based on the likelihood of completing their melds, as it gives them important insights into the remaining cards in the deck. Str51 bonus rummy appategic Rummy Discarding. Strategic discarding is another sophisticated technique. Players should think about the potential effects of their discards on their opponents' hands rather than just throwing away high-point cards or cards that don't fit into existing melds. One effective strategy for reducing an opponent's options and increasing one's own chances of winning is to discard cards that might otherwise aid them in finishing their melds.