Although it lacks a progressive jackpot, as does Caribbean Stud, or decent sized payoff for a royal as in Let It Ride in a casino environment, I would recommend of the three, Three Card Poker, simply because the casino advantage is lower on select bets among the three games you mentioned.

WithCaribbean Stud, the best you can hope for is a casino edge of about 5.2% based on the player's ante wager, or 2.6% based on the ante and call bet. As for the progressive wager, the average house edge is over 26%, depending, of course, on the size of the jackpot.

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