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Poker Dice

Introduction

Poker Dice is a chance-based game offered by online casinos that utilizes specific Wager Gaming Technology and 1x2 Gaming software. Players roll five specially designed poker dice, aiming to create a winning poker combination.

Rules

  1. The player makes a bet.
  2. This game incorporates five poker dice, each displaying a 9, 10, jack, queen, king, and ace on its faces.
  3. Winnings are determined based on the poker ranking of the five rolled dice, as outlined in a designated pay table. All payouts are structured on a 'for one' basis.

Wager Gaming Pay Table

Hand Pays
Five of a kind 100
High straight 6
Low straight 5
Four of a kind 4
Full house 3
Three of a kind 2
Two pair 1
Loser 0


1x2 Gaming Pay Table

Hand Pays
Golden royal 50
Golden straight 35
Five of a kind 20
High straight 6
Low straight 5
Four of a kind 4
Full house 3
Three of a kind 2
Two pair 1
Pair of aces 0.5


A Golden Royal consists of a seamless succession leading to the ace. The arrangement of the dice must follow a defined order. A Golden Straight, meanwhile, extends to the king in a sequential manner. The correctly organized dice are highlighted in a golden shade.

Wager Gaming Analysis





The table below indicates various combinations, their probabilities, and the expected returns from each result. The bottom right corner reflects a return rate of 97.99%.

Return Table

Hand Pays Permutations Probability Return
Five of a kind 100 6 0.000772 0.077160
High straight 6 120 0.015432 0.092593
Low straight 5 120 0.015432 0.077160
Four of a kind 4 150 0.019290 0.077160
Full house 3 300 0.038580 0.115741
Three of a kind 2 1,200 0.154321 0.308642
Two pair 1 1,800 0.231481 0.231481
Loser 0 4,080 0.524691 0.000000
Total 7,776 1.000000 0.979938

1x2 Gaming Analysis



Another table presents the combinations, chances, and possible returns for each outcome, with the bottom right corner indicating a return rate of 96.63%.

Return Table

Hand Pays Permutations Probability Return
Golden royal 50 1 0.000129 0.006430
Golden straight 35 1 0.000129 0.004501
Five of a kind 20 6 0.000772 0.015432
High straight 6 119 0.015303 0.091821
Low straight 5 119 0.015303 0.076517
Four of a kind 4 150 0.019290 0.077160
Full house 3 300 0.038580 0.115741
Three of a kind 2 1,200 0.154321 0.308642
Two pair 1 1,800 0.231481 0.231481
Pair of aces 0.5 600 0.077160 0.038580
All other 0 3,480 0.447531 0.000000
Total 7,776 1.000000 0.966307


Math Lesson

I elaborate on the count of permutations for each hand on my page, Dazzling Dice , excluding two pairs, as they don't yield any payouts in this game.

In a two pair, there are combin (6,2) equals 15 distinct ways to select two ranks from five for the two pairs. Subsequently, there are four remaining options to pick the rank of the single die. The number of ways to position the first pair is given by combin(5,2)=10, while combin(3,2)=3 provides the positioning for the second pair. Therefore, the total permutations for achieving two pairs is 15×4×10×3 = 1,800.

External Links



  • Poker Dice on the F1x2 platform — Details pertaining to the Poker Dice version by 1x2 Gaming. Without this information, I would have remained unaware of the concepts of Golden Royal and Golden Straight.
  • What is a Golden Royal — A reflection on my challenges regarding the clarification of what constitutes a Golden Royal.