# Swiss Casinos Jack

## Introduction

I noticed a side bet in blackjack called the Swiss Casinos Jack at the Zurich casino in Switzerland. It wins on a player blackjack, and the amount of the win depends on the type of blackjack.

## Rules

Wins are based on the player's initial two cards, as follow:

• Jack is Black (blackjack including a black jack) pays 50 to 1.
• All Red (blackjack consisting of two red cards) pays 25 to 1.
• Mix* (All other blackjacks) pays 10 to 1.

*: I know, terrible name. I wouldn't call all other blackjacks a "mix," because some are all black, but nobody asked my advice about the terminology in their pay table. Maybe in the original German it isn't such a misnomer.

## Analysis

The following table shows my analysis for six decks. The lower right cell shows a house edge of 6.21%.

### Swiss Casinos Jack — Six Decks

Event Pays Combinations Probability Return
Jack is Black 50 288 0.005936 0.296809
All red 25 576 0.011872 0.296809
Mix 10 1,440 0.029681 0.296809
All other -1 46,212 0.952511 -0.952511
Total 48,516 1.000000 -0.062083

Following is the house edge for other numbers of decks.

• One deck: 4.68%
• Two decks: 5.60%
• Four decks: 6.06%
• Six decks: 6.21%
• Eight decks: 6.28%