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s7reak

Introduction

S7reak is a new casino game that appeared at the Crown casino in Melbourne in early 2018. It is difficult to compare to any existing casino games. In S7reak, the dealer will deal cards face up until he has one of each color or has achieved seven cards, whichever comes first. There are four bets the player may choose from, which win or lose based on this card draw.

Rules

  1. The game uses an unknown number of ordinary 52-card decks. This analysis is based on a single deck, shuffled after every hand.
  2. The player has four bets available: Red, Black, No Streak, and Suit Up.
  3. After bets have been made, the dealer shall deal out cards, one at a time, until both colors are represented or seven cards of the same color are dealt, whichever comes first.

  4. The Red and Black bets require that the first card be the chosen color, otherwise it loses. If the first card does match the color bet on, then the player is paid according to the number of cards of that color dealt and the following pay table. Pays are on a "to one" basis.

    Red/Black Pay Table

    Cards Pays
    1 Push
    2 1
    3 2
    4 3
    5 4
    6 5
    7 6
  5. The No Streak bet pays even money if the first two cards are opposite in color and different in rank. If the first two cards are equal in rank and color, then the outcome is a push. If the first two cards are opposite in color, the outcome is a loss.

  6. The Suit Up pays according to the maximum number of cards in any suit. Please note that the player does not need to choose a suit with this bet. Pays are on a "to one" basis.

    Suit Up Pay Table

    Cards Pays
    1 Loss
    2 Push
    3 3
    4 5
    5 10
    6 25
    7 100

Red and Black Analysis

The following table shows my analysis of the Red and Black bets. The first column represents the number of cards in the chosen streak, starting with the first card. The bottom right cell shows a house edge of 4.05%.

Red and Black Analysis

Cards in
Streak		 Pays Permutations Probability Return
0 -1 337,137,091,200 0.500000 -0.500000
1 0 171,873,811,200 0.254902 0.000000
2 1 85,936,905,600 0.127451 0.127451
3 2 42,091,545,600 0.062425 0.124850
4 3 20,168,865,600 0.029912 0.089736
5 4 9,440,745,600 0.014001 0.056005
6 5 4,309,905,600 0.006392 0.031960
7 6 3,315,312,000 0.004917 0.029501
Total   674,274,182,400 1.000000 -0.040497

No Streak Analysis

The following table shows my analysis of the No Streak bet. The bottom right cell shows a house edge of 1.96%.

No Streak Analysis

Cards in
Streak		 Pays Combinations Probability Return
Win 1 624 0.470588 0.470588
Push 0 52 0.039216 0.000000
Loss -1 650 0.490196 -0.490196
Total   1,326 1.000000 -0.019608

Suit Up Analysis

The following table shows my analysis of the Suit Up bet. The first column represents the number of cards in the suit in majority. The bottom right cell shows a house edge of 18.42% (ouch!).

Red and Black Analysis

Cards in
Majority
Suit		 Pays Permutations Probability Return
1 -1 433,122,004,224 0.642353 -0.642353
2 0 164,577,943,296 0.244082 0.000000
3 3 54,452,935,680 0.080758 0.242274
4 5 17,493,041,280 0.025944 0.129718
5 10 4,015,440,000 0.005955 0.059552
6 25 578,223,360 0.000858 0.021439
7 100 34,594,560 0.000051 0.005131
Total   674,274,182,400 1.000000 -0.184240

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Written by: Michael Shackleford