# Dice Twister

## Introduction

Dice Twister is a game found at Internet casinos using Playtech software. The game can be found under the Arcade Games menu. This game is similar to Sic Bo, in which the player bets on the throw of three dice.

Click on image for larger version.

## Rules

As in slots or video poker once a wager is made it is never returned. So all pays indicated are on a "for one" basis.

Lots of betting options are available on the throw of three dice. The various bets, probability of winning, and expected return are shown in the analysis section.

## Analysis

The following table shows the probability of winning and expected return for most bets.

### Dice Twister Return Table

Bet Probability Pays Return
Total of 4 0.013889 70 0.972222
Total of 5 0.027778 35 0.972222
Total of 6 0.046296 21 0.972222
Total of 7 0.069444 14 0.972222
Total of 8 0.097222 10 0.972222
Total of 9 0.115741 8.25 0.954861
Total of 10 0.125 7.75 0.96875
Total of 11 0.125 7.75 0.96875
Total of 12 0.115741 8.25 0.954861
Total of 13 0.097222 10 0.972222
Total of 14 0.069444 14 0.972222
Total of 15 0.046296 21 0.972222
Total of 16 0.027778 35 0.972222
Total of 17 0.013889 70 0.972222
Low (3-8) 0.259259 3.75 0.972222
Mid (9-12) 0.481481 2 0.962963
High (13-18) 0.259259 3.75 0.972222
All odd 0.125 7.75 0.96875
All even 0.125 7.75 0.96875
Odd/even mix 0.75 1.25 0.9375

There are also six bets, for for each face of the die. If one of the three dice land on the chosen face the player wins 2, two dice matching wins 3, and all three matching wins 15. The following table shows the probability and contribution to the return of each number of matches. The lower right cell shows a return of 97.22%.

### Individual Number Bets Return Table

Matches Probability Pays Return
0 0.578704 0 0
1 0.347222 2 0.694444
2 0.069444 3 0.208333
3 0.00463 15 0.069444
Total 1 0 0.972222

## Disclaimer

I was hired by Playtech to help design all of their Arcade Games. I was given permission by Playtech to publish this analysis.