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French Bank
Introduction
Banca Francesa is an engaging dice game utilizing three dice and offering three different betting options. It enjoys significant popularity in Portugal. You can also find it at online casinos that utilize Gaming1 software.
Rules
- The game is played with three standard six-sided dice.
- Participants have three different betting choices available, as indicated below.
- In cases where the sum of the dice does not match any of the betting ranges, all placed bets are returned.
French Bank Bets
| Bet | Winning Totals | Pays |
|---|---|---|
| Low | 5 to 7 | 1 to 1 |
| High | 14 to 16 | 1 to 1 |
| Aces | 3 | 61 to 1 |
Analysis
The subsequent table presents my evaluation of the Low bet. The bottom right corner indicates a house edge of 0.46%, assuming ties are taken into account as successful bets. If ties are disregarded, the house edge increases to 1.59%.
Low Bet Analysis
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| 5 to 7 | 1 | 31 | 0.143519 | 0.143519 |
| 4, 8 to 13, 17, 18 | 0 | 153 | 0.708333 | 0.000000 |
| 3, 14 to 16 | -1 | 32 | 0.148148 | -0.148148 |
| Total | 216 | 1.000000 | -0.004630 |
The next table offers my assessment of the High bet. The lower right cell reveals a house edge of 0.46%, with ties counted as resolved bets. Ignoring ties raises the house edge to 1.59%.
High Bet Analysis
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| 14 to 16 | 1 | 31 | 0.143519 | 0.143519 |
| 4, 8 to 13, 17, 18 | 0 | 153 | 0.708333 | 0.000000 |
| 3, 5 to 7 | -1 | 32 | 0.148148 | -0.148148 |
| Total | 216 | 1.000000 | -0.004630 |
In the following table, I analyze the Aces bet. The lower right cell reflects a house edge of 0.46% when ties are viewed as resolved bets. If ties are not considered, then the house edge becomes 1.59%.
Aces Bet Analysis
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| 3 | 61 | 1 | 0.004630 | 0.282407 |
| 4, 8 to 13, 17, 18 | 0 | 153 | 0.708333 | 0.000000 |
| 5 to 7, 14 to 16 | -1 | 62 | 0.287037 | -0.287037 |
| Total | 216 | 1.000000 | -0.004630 |