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Introduction
Double Up is a casino game I noticed at the D casino in Las Vegas on November 1, 2013. It is an easy game to learn and to play, and the correct strategy is simple. It features two zero-house-edge side bets.
Rules
- The game is played with a single 52-card deck, shuffled after every hand.
- Cards are scored as in blackjack, except aces are always one point.
- Play begins with the player making an Ante Wager and an optional Red or Black wager.
- The Red and Black wagers may not exceed the Ante Wager.
- The dealer will deal three community cards face up.
- The player may either stand or make a Double Up wager, which may not exceed the Ante wager.
- The dealer will deal a fourth and final community card face up.
- If the total points equals 40, then Ante and Double Up wagers will pay 2 to 1.
- If the total points exceed 30 or are less than 20, then Ante and Double Up wagers will pay 1 to 1.
- If the total points are between 20 and 30 inclusive, then Ante and Double Up wagers will lose.
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Strategy
The player should make the Double Up wager with 12 or less or 24 or more points. Otherwise, stand.
Analysis
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The following table shows the possible outcomes of the sum of the Ante and Double Up wagers. The lower right cell shows a house edge of 3.72%.
Ante & Double Up Analysis
| Event | Win | Combinations | Probability | Return |
|---|---|---|---|---|
| Double up and win with 40 | 4 | 7,280 | 0.006723 | 0.026891 |
| Double up and win | 2 | 260,136 | 0.240222 | 0.480443 |
| Stand and win | 1 | 165,776 | 0.153085 | 0.153085 |
| Stand and lose | -1 | 543,940 | 0.502299 | -0.502299 |
| Double up and lose | -2 | 105,768 | 0.097671 | -0.195342 |
| Total | 1,082,900 | 1.000000 | -0.037222 |
The player will make the raise bet 34.46% of the time, making the Element of Risk 3.72%/(1.3446) = 2.77%.
The next table shows the return table for the red and black bets. The lower right cell shows a house edge of 0.00%.
Red & Black Analysis
| Event | Win | Combinations | Probability | Return |
|---|---|---|---|---|
| Win | 1 | 11,050 | 0.500000 | 0.500000 |
| Lose | -1 | 11,050 | 0.500000 | -0.500000 |
| Total | 22,100 | 1.000000 | 0.000000 |
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Assuming a maximum Red or Black bet, the overall ratio of expected loss to total amount wagered is 3.72%/(2.3446) = 1.59%.