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Last Updated: March 21, 2019

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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

  1. 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.
  2. The Player 3 Card wins if the Player bet wins with three cards. Wins pay 4 to 1. All other outcomes lose.
  3. 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.


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