Last Updated: March 21, 2019

# 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