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The rules were as follow: tens and picture cards were worth 10, aces were worth 1 or 11, and the other cards were worth their face values. The dealer was required to hit 17 – five cards under paid double. (TNG: "The Royale")
On Theta VIII, blackjack was one of the games emulated in the physical representation of the novel The Hotel Royale. When the USS Enterprise-D investigated the planet, Data proved to be a skilled blackjack player. He beat the odds to get a "five card Charlie." (TNG: "The Royale")