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Last Updated: September 11, 2019

# Lucky 6

## Introduction

The Lucky 6 is a side bet on the commission-free version of baccarat that pays 1 to 2 on a winning Banker total of six. The Lucky 6 pays on just that contingency. I first noticed the Lucky 6 at the Venetian in Las Vegas on September 10, 2019. The same side bet goes by the name of the Tiger on some games.

I have an unconfirmed report that the Cosmopolitan in Las Vegas offers the same bet, but titles it the Bank 6.

## Rules

Following are the rules as played at the Venetian in Las Vegas.

1. If the Banker bet wins with a 2-card total of 6, then the Lucky 6 pays 12 to* 1.
2. If the Banker bet wins with a 3-card total of 6, then the Lucky 6 pays 23 to* 1.

The rules in Macau are the same, except a 3-card winning total of 6 pays 20 to 1.

Notes:
* The table rules expresses the rules on a "for one" basis, which I converted to "to one," in the interests of consistency with how I write about table games.

## Analysis

The following table shows my analysis of the Lucky 6 side bet under the Las Vegas pay table. I converted the pays to a "to one" basis. It is interesting that the win with the higher probability also pays more. The lower right cell shows a house edge of 11.70%.

### Lucky 6 — Las Vegas Pay Table

Event Pays Combinations Probability Return
2-Card Winning Banker 6 12 186,173,936,904,192 0.037247 0.446961
3-Card Winning Banker 6 23 83,058,367,551,488 0.016617 0.382191
All other -1 4,729,165,971,047,680 0.946136 -0.946136
Total   4,998,398,275,503,360 1.000000 -0.116985

The next pay table shows my analysis under the Macau rules. The lower right cell shows a house edge of 16.68%. I have seen this pay table at the Venetian in Las Vegas and I have an unconfirmed report the Cosmopolitan's has it too.

### Lucky 6 — Macau Pay Table

Event Pays Combinations Probability Return
2-Card Winning Banker 6 12 186,173,936,904,192 0.037247 0.446961
3-Card Winning Banker 6 20 83,058,367,551,488 0.016617 0.332340
All other -1 4,729,165,971,047,680 0.946136 -0.946136
Total   4,998,398,275,503,360 1.000000 -0.166836

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