A key to winning at 777 Rummy is knowing which cards to discard and which to hold onto. Based on their current hand & the actions of their opponentsrummy today, players must carefully weigh their options and make strategic decisions. Each card in one's hand has a value, which is an important consideration. High-value cards that remain in a player's hand at the conclusion of a round, like aces & face cards, can add a lot of points to their total score.