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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%