The phrase is often used metaphorically rather than literally, referring to any unseen advantage. Even with odds against us, we still have a card up our sleeve.
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Strategic Surprise
Use this phrase to imply a strategic surprise that can turn a situation around unexpectedly. They thought they had won, but we had a card up our sleeve.
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Literal Origin
Originally from card games where a player might cheat by hiding a card, now means any secret strategy. This idiom comes from players who had a card up their sleeve to cheat in a game.