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Contrast Bonus Baccarat
Introduction
Contrast Bonus Baccarat is a baccarat side bet that pays if all the Player cards are of the same color and all the Banker cards are of the opposite color. Wins depend on the total cards involved. It had its first placement at the Casino Admiral in Switzerland.
Rules
- Contrast Bonus Baccarat (CBB) side bet is to be used in standard baccarat. This analysis is based on eight decks of cards.
- CBB shall win if all Player cards are of one color and all Banker cards of of the opposite color.
- Wins depend on the total number of cards between the two hands and the particular pay table used by the casino, as shown in the table below.
The following table shows the four available pay tables. All pays are on a "to one" basis.
Pay Tables
| Event | Pay Table 1 |
Pay Table 2 |
Pay Table 3 |
Pay Table 4 |
|---|---|---|---|---|
| Six total cards | 35 | 33 | 30 | 30 |
| Five total cards | 15 | 15 | 17 | 15 |
| Four total cards | 5 | 5 | 5 | 6 |
If my rules were not clear, here is a link to the rack card.
Analysis
The following four tables show my analysis of the four available pay tables. The pay table used by the Casino Admiral is number 3.
Pay Table 1 Analysis
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Six total cards | 35 | 49,975,532,181,504 | 0.009998 | 0.349941 |
| Five total cards | 15 | 95,217,257,023,488 | 0.019050 | 0.285743 |
| Four total cards | 5 | 237,970,360,442,880 | 0.047609 | 0.238047 |
| Loser | -1 | 4,615,235,125,855,490 | 0.923343 | -0.923343 |
| Total | 4,998,398,275,503,360 | 1.000000 | -0.049612 |
Pay Table 2 Analysis
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Six total cards | 33 | 49,975,532,181,504 | 0.009998 | 0.329944 |
| Five total cards | 15 | 95,217,257,023,488 | 0.019050 | 0.285743 |
| Four total cards | 5 | 237,970,360,442,880 | 0.047609 | 0.238047 |
| Loser | -1 | 4,615,235,125,855,490 | 0.923343 | -0.923343 |
| Total | 4,998,398,275,503,360 | 1.000000 | -0.069609 |
Pay Table 3 Analysis
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Six total cards | 30 | 49,975,532,181,504 | 0.009998 | 0.299949 |
| Five total cards | 17 | 95,217,257,023,488 | 0.019050 | 0.323842 |
| Four total cards | 5 | 237,970,360,442,880 | 0.047609 | 0.238047 |
| Loser | -1 | 4,615,235,125,855,490 | 0.923343 | -0.923343 |
| Total | 4,998,398,275,503,360 | 1.000000 | -0.061505 |
Pay Table 4 Analysis
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Six total cards | 30 | 49,975,532,181,504 | 0.009998 | 0.299949 |
| Five total cards | 15 | 95,217,257,023,488 | 0.019050 | 0.285743 |
| Four total cards | 6 | 237,970,360,442,880 | 0.047609 | 0.285656 |
| Loser | -1 | 4,615,235,125,855,490 | 0.923343 | -0.923343 |
| Total | 4,998,398,275,503,360 | 1.000000 | -0.051994 |
The next table summarizes the house edge for each pay table.
Pay Table Summary
| Pay Table Number |
Pays | House Edge |
|---|---|---|
| 1 | 5-15-35 | 4.96% |
| 2 | 5-15-33 | 6.96% |
| 3 | 5-17-30 | 6.15% |
| 4 | 6-15-30 | 5.20% |