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Last Updated: September 1, 2016

Wheel of Dice

Introduction



Wheel of Dice is a simple game of chance I noticed at an Internet casino using Evolution Gaming software. The game uses three wheels with 32 stops each. Each stop shows the face of a die, from one to six. The lower the number of dots, the more it appears on the wheels. The player may choose which wheel to bet on and what face it will land on. There is also a side bet based on all three wheels.

Rules



Here are the rules of Wheel of Dice.

  1. The game uses three wheels with 32 slices each. On each slice is the face of a die, from one to six. The distribution of how often each face appears on each wheel is shown below.
  2. The player may bet on any specific wheels(s) and what number that wheel will land on. The pay table is shown below.
  3. There is also an "any triple" bet, based on the outcome of all three wheels. That pay table is also shown below.

The following table shows how often each face of the die appears on each wheel.

Wheel Distribution

Die
Face
Number
of Slices
1 15
2 7
3 4
4 3
5 2
6 1

The following table shows what each bet pays, which are expressed on a "to one" basis.

Single Wheel Pay Table

Die
Face
Pays
1 1
2 3
3 6
4 9
5 14
6 30

The following table shows the winning outcomes of the Any Triple bet. Pays are on a "to one" basis.

Any Triple Pay Table

Event Pays
Three 6's 1000
Three 5's 500
Three 4's 100
Three 3's 25
Three 2's 10
Three any 3, 4, or 5 5
Three 1's 3

Analysis

The following table shows the probability of winning and house edge of all six bets on a specific wheel. Pays are on a "to one" basis.

Evolution Gaming Analysis

Bet Pays Slices Probability
of Winning
House
Edge
1 1 15 46.875% 6.250%
2 3 7 21.875% 12.500%
3 6 4 12.500% 12.500%
4 9 3 9.375% 6.250%
5 14 2 6.250% 6.250%
6 30 1 3.125% 3.125%

The following table shows the probability and contribution to the return for each outcome of the Any Triple bet. The lower right cell shows a house edge of 5.25%.

Any Triple

Event Pays Combinations Probability Return
Three 6's 1000 1 0.000031 0.030518
Three 5's 500 8 0.000244 0.122070
Three 4's 100 27 0.000824 0.082397
Three 3's 25 64 0.001953 0.048828
Three 2's 10 343 0.010468 0.104675
Three any 3, 4, or 5 5 729 0.022247 0.111237
Three 1's 3 3,375 0.102997 0.308990
Loser -1 28,221 0.861237 -0.861237
Total 32,768 1.000000 -0.052521

Strategy



Like all games of pure luck, the only strategy is in bet selection. With the lowest house advantage on the six on a specific wheel, I would recommend sticking to that, if you must play.


Written by: Michael Shackleford

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