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3-Card Win
Introduction
The 3 Card Win are a pair of side bets in baccarat on a Player and Banker three-card win respectively. The Player 3 Card win pays 4 to 1 and the Banker 3 Card Win pays 5 to 1. I don't know the correct title of these bets, so will refer to them as the "Three Card Wins" until I find out. I noticed these bets at the Gold Coast in Las Vegas on March 19, 2019.
Rules
- The Banker 3 Card Win and Player 3 Card win are a pair of side bets in standard baccarat, which I assume the reader is familiar with.
- The Player 3 Card wins if the Player bet wins with three cards. Wins pay 4 to 1. All other outcomes lose.
- The Banker 3 Card wins if the Banker bet wins with three cards. Wins pay 5 to 1. All other outcomes lose.
Analysis
The following table shows my analysis of the Player 3 Card Win bet. The lower right cell shows a house edge of 5.69%.
Player 3 Card Win Return Table
| Event | Pays | Numbers | Probability | Return |
|---|---|---|---|---|
| Player win with three cards | 4 | 942,837,427,226,624 | 0.188628 | 0.754512 |
| Loss | -1 | 4,055,560,848,276,740 | 0.811372 | -0.811372 |
| Total | 4,998,398,275,503,360 | 1.000000 | -0.056860 |
The following table shows my analysis of the Banker 3 Card Win bet. The lower right cell shows a house edge of 8.30%.
Banker 3 Card Win Return Table
| Event | Pays | Numbers | Probability | Return |
|---|---|---|---|---|
| Banker win with three cards | 5 | 763,885,033,768,960 | 0.152826 | 0.764130 |
| Loss | -1 | 4,234,513,241,734,400 | 0.847174 | -0.847174 |
| Total | 4,998,398,275,503,360 | 1.000000 | -0.083044 |
External Links
Discussion about the 3 Card Wins in my forum at Wizard of Vegas.