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Egalite Bets in Baccarat

Introduction

The egalities are side bets in baccarat Regarding specific ties; for instance, when the final outcome is 7-7, these bets are commonly available in casinos across England.

Rules

The types of bets and payouts can differ greatly from one casino to another. Some provide the option to wager on all ten possible tie scenarios, ranging from 0-0 to 9-9, while others categorize them into groups. Below, I've included some particular betting options I observed in the analysis section.

Analysis

The table below outlines the Egalite bets associated with distinct ties. The combinations column displays the number of winning combinations from a total of 4,998,398,275,503,360 possible outcomes.

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

In the following table, you'll find the Egalite bets categorized by groups of ties.

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 features two side bets I encountered at the Orleans. The 'Low Tie Max' pays for a tie with scores between 0 to 5 points, while the 'High Tie Max' rewards when the scores tie between 6 and 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