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Egalite Bets in Baccarat
Introduction
The egalities are side bets in baccarat on specific ties. For example, a final score of 7-7. They are most likely to be found at casinos in England.
Rules
The bets and pays can vary depending on the casino. At some casinos you can bet on all ten possible ties, from 0-0 to 9-9. At others, they group the ties into groups. I list some specific bets I've seen below in the analysis section below.
Analysis
The following table shows the Egalite bets on specific ties. The combinations column is the number of winning combinations out of 4,998,398,275,503,360 possible.
Individual Egalite Bets
| Bet | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| 9 | 80 | 55,146,054,060,032 | 0.011033 | -0.106348 |
| 8 | 80 | 54,879,416,675,072 | 0.010979 | -0.110669 |
| 7 | 45 | 101,717,538,899,968 | 0.020350 | -0.063899 |
| 6 | 45 | 96,170,001,308,416 | 0.019240 | -0.114952 |
| 5 | 110 | 39,684,046,743,808 | 0.007939 | -0.118732 |
| 4 | 120 | 36,294,133,463,040 | 0.007261 | -0.121401 |
| 3 | 200 | 22,250,510,129,408 | 0.004452 | -0.105243 |
| 2 | 225 | 20,006,606,104,576 | 0.004003 | -0.095412 |
| 1 | 215 | 20,499,217,668,352 | 0.004101 | -0.114150 |
| 0 | 150 | 28,979,901,420,544 | 0.005798 | -0.124527 |
The next table shows the Egalite bets on groups of egalities.
Egalite Groupings
| Bet | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| 0 | 160 | 28,979,901,420,544 | 0.005798 | -0.066548 |
| 1 to 3 | 70 | 62,756,333,902,336 | 0.012555 | -0.108574 |
| 4 to 5 | 60 | 75,978,180,206,848 | 0.015201 | -0.072769 |
| 6 to 7 | 22 | 197,887,540,208,384 | 0.039590 | -0.089426 |
| 8 to 9 | 40 | 110,025,470,735,104 | 0.022012 | -0.097502 |
The next table shows two side bets I've seen at the Orleans. The "Low Tie Max" pays on a tie of 0 to 5 points. The "High Tie Max" pays on a tie of 6 to 9 points.
Low Tie Max, High Tie Max
| Bet | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Low Tie | 55 | 74,570,116,880,640 | 0.014919 | -0.164547 |
| High Tie | 10 | 401,057,309,592,576 | 0.080237 | -0.117391 |