On this page
Banca Francesa
Introduction
Banca Francesa is a simple dice game, involving three dice and three bets. I hear it is popular in Portugal. Online, it can be found at Internet casinos using Gaming1 software.
Rules
- Three ordinary six-sided dice are used.
- Players have three bets to choose from, as shown below.
- If the total of the dice do not fall in a range that resolves a bet, then all bets push.
Banca Francesa 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 following table shows my analysis of the Low bet. The lower right cell shows a house edge of 0.46%, if ties are counted as a bet resolved. If ties are ignored, then the house edge is 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 following table shows my analysis of the High bet. The lower right cell shows a house edge of 0.46%, if ties are counted as a bet resolved. If ties are ignored, then the house edge is 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 |
The following table shows my analysis of the Aces bet. The lower right cell shows a house edge of 0.46%, if ties are counted as a bet resolved. If ties are ignored, then the house edge is 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 |