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Last Updated: October 8, 2014

Poker Dice

Introduction

Poker Dice is a game of chance available at Internet casinos using and 1x2 Gaming software. The game is based on rolling five poker dice and trying to form a paying poker hand.

Rules

1. The player makes a bet.
2. The game uses five poker dice. A poker die has on its six faces a 9, 10, jack, queen, king, and ace.
3. The player is paid according to the poker value of the five dice, according to one of the following pay tables. All pays are 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 is a sequential and ascending straight to the ace. I guess there is a specific way they order the dice. A Golden straight is a sequential and ascending straight to the king. Dice in the correct order are shown in a golden color.

Wager Gaming Analysis

The following table shows the number of combinations, probability, and return from each outcome. The lower right cell shows a return 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

The following table shows the number of combinations, probability, and return from each outcome. The lower right cell shows a return 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 explain how the number of permutations of each hand in my page on Dazzling Dice, except the two pair, which doesn't pay in that game.

In a two pair, there are combin(6,2)=15 possible ways to choose two ranks out of five for the two pair. Then there are four ways left to choose the rank of the singleton. Then there are combin(5,2)=10 ways to choose the positions of the first pair. Then there are combin(3,2)=3 ways to choose the positions of the second pair. Thus, the total number of permutations for a two pair are 15×4×10×3 = 1,800.

• — Specifications for the 1x2 Gaming version of Poker Dice. Without this, I'd have never known what a Golden Royal and Golden Straight were.
• — Discussion about my frustration with determining what a Golden Royal is.

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