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Bet the Deck

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Introduction

Bet the Deck is a table game I found at the Golden Nugget in April, 2005. It is a simple poker variation in which the player bets on the outcome of a 5-card stud hand. The poker hand is composed of four community cards and a fifth card(s) of the player's chosing. Following is a scan of the rule card.

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Analysis

Following are the available bets.

  • Eight or Lower

    The Eight or Lower bet wins if all four community cards are all eight or lower. Aces count as low. A winning bet pays 6 to 1. The probability of winning is 13.28% and the house edge is 7.02%.

  • All Red

    The All Red bet wins if all four community cards are all red. A winning bet pays 16 to 1. The probability of winning is 5.52% and the house edge is 6.12%.

  • All Black

    The All Black bet wins if all four community cards are all black. A winning bet pays 16 to 1. The probability of winning is 5.52% and the house edge is 6.12%.

  • Ace, 2, King

    These are three of the ranks available for the card bet. The player chooses one or more of these and is paid according to the poker value of the chosen card and the four community cards. The following table shows what each hand pays, the number of combinations, probability, and return. The lower right cell shows a house edge of 9.33%.

     

    Ace, 2, King Bets in Bet the Deck

    Poker Hand Pays Combinations Probability Return
    Five of a kind 250 to 1 1 0.000004 0.000923
    Straight flush 125 to 1 8 0.00003 0.003694
    Four of a kind 50 to 1 204 0.000754 0.037677
    Full house 20 to 1 624 0.002305 0.046098
    Straight 15 to 1 504 0.001862 0.027925
    Flush 7 to 1 2852 0.010535 0.073743
    Three of a kind 3 to 1 8448 0.031205 0.093615
    Two pair 2 to 1 15048 0.055584 0.111168
    Pair hold card 1 to 1 55440 0.204783 0.204783
    Other Loss 187596 0.692939 -0.692939
    Total   270725 1 -0.093312

     

  • 3, Queen

    These are two of the ranks available for the card bet. The player chooses one or more of these and is paid according to the poker value of the chosen card and the four community cards. The following table shows what each hand pays, the number of combinations, probability, and return. The lower right cell shows a house edge of 7.67%.

     

    3, Queen Bets in Bet the Deck

    Poker Hand Pays Combinations Probability Return
    Five of a kind 250 to 1 1 0.000004 0.000923
    Straight flush 125 to 1 12 0.000044 0.005541
    Four of a kind 50 to 1 204 0.000754 0.037677
    Full house 20 to 1 624 0.002305 0.046098
    Straight 15 to 1 756 0.002793 0.041888
    Flush 7 to 1 2848 0.01052 0.073639
    Three of a kind 3 to 1 8448 0.031205 0.093615
    Two pair 2 to 1 15048 0.055584 0.111168
    Pair hold card 1 to 1 55440 0.204783 0.204783
    Other Loss 187344 0.692008 -0.692008
    Total   270725 1 -0.076676

     

  • 4, Jack

    These are two of the ranks available for the card bet. The player chooses one or more of these and is paid according to the poker value of the chosen card and the four community cards. The following table shows what each hand pays, the number of combinations, probability, and return. The lower right cell shows a house edge of 6.00%.

     

    4, Jack Bets in Bet the Deck

    Poker Hand Pays Combinations Probability Return
    Five of a kind 250 to 1 1 0.000004 0.000923
    Straight flush 125 to 1 16 0.000059 0.007388
    Four of a kind 50 to 1 204 0.000754 0.037677
    Full house 20 to 1 624 0.002305 0.046098
    Straight 15 to 1 1008 0.003723 0.05585
    Flush 7 to 1 2844 0.010505 0.073536
    Three of a kind 3 to 1 8448 0.031205 0.093615
    Two pair 2 to 1 15048 0.055584 0.111168
    Pair hold card 1 to 1 55440 0.204783 0.204783
    Other Loss 187092 0.691078 -0.691078
    Total   270725 1 -0.060039

     

  • 5 to 10

    These are six of the ranks available for the card bet. The player chooses one or more of these and is paid according to the poker value of the chosen card and the four community cards. The following table shows what each hand pays, the number of combinations, probability, and return. The lower right cell shows a house edge of 4.34%.

     

    5 to 10 Bets in Bet the Deck

    Poker Hand Pays Combinations Probability Return
    Five of a kind 250 to 1 1 0.000004 0.000923
    Straight flush 125 to 1 20 0.000074 0.009234
    Four of a kind 50 to 1 204 0.000754 0.037677
    Full house 20 to 1 624 0.002305 0.046098
    Straight 15 to 1 1260 0.004654 0.069813
    Flush 7 to 1 2840 0.01049 0.073432
    Three of a kind 3 to 1 8448 0.031205 0.093615
    Two pair 2 to 1 15048 0.055584 0.111168
    Pair hold card 1 to 1 55440 0.204783 0.204783
    Other Loss 186840 0.690147 -0.690147
    Total   270725 1 -0.043402

     

  • Joker Bet

    The Joker Bet is similar to the Card Bets, except the fifth card is a totally wild joker. The following table shows what each hand pays, the number of combinations, probability, and return. The lower right cell shows a house edge of 4.89%.

     

     

    Joker Bet in Bet the Deck

    Poker Hand Pays Combinations Probability Return
    Five of a kind 50 to 1 13 0.000048 0.002401
    Straight flush 30 to 1 164 0.000606 0.018173
    Four of a kind 6 to 1 2496 0.00922 0.055318
    Full house 6 to 1 2808 0.010372 0.062233
    Straight 2 to 1 10332 0.038164 0.076328
    Flush 6 to 1 2696 0.009958 0.059751
    Three of a kind 1 to 1 82368 0.30425 0.30425
    All other Loss 169848 0.627382 -0.627382
    Total   270725 1 -0.048928

     

Written by: Michael Shackleford