The Dice is always on my side! Or not... Probabilities of ** Dice Roll** are important to consider to achieve optimal gameplay.

The following table illustrates all possible outcomes of rolling two dices. (Bolded numbers are the individual dice numbers, and unbolded numbers are the sum of the two dice numbers.)

- | 1 | 2 | 3 | 4 | 5 | 6 |
---|---|---|---|---|---|---|

1 | 2 | 3 | 4 | 5 | 6 | 7 |

2 | 3 | 4 | 5 | 6 | 7 | 8 |

3 | 4 | 5 | 6 | 7 | 8 | 9 |

4 | 5 | 6 | 7 | 8 | 9 | 10 |

5 | 6 | 7 | 8 | 9 | 10 | 11 |

6 | 7 | 8 | 9 | 10 | 11 | 12 |

Thus, before considering dice control, the probability of obtaining certain dice rolls are illustrated in the table below. 7 has the highest probability of 16.67% to occur.

Dice Roll | Probability |
---|---|

2 | 2.78% |

3 | 5.56% |

4 | 8.33% |

5 | 11.11% |

6 | 13.89% |

7 | 16.67% |

8 | 13.89% |

9 | 11.11% |

10 | 8.33% |

11 | 5.56% |

12 | 2.78% |

However, dice control skews this mechanic. There are two probability outcomes. 2-4 and 10-12 give the favourable probability outcome. It is described as favourable because there is a 33.33% change of obtaining a Dice Double that gives the player an extra turn.

Dice Roll | Probability |
---|---|

2 or 12 | 16.67% |

3 or 11 | 33.33% |

4 or 10 | 50% |

5-7 and 7-9 gives a more balanced outcome.

Dice Roll | Probability |
---|---|

5 or 9 | 27.78% |

6 or 8 | 33.33% |

7 | 38.89% |

A dice control value of 36% is used to demonstrate the skewed probabilities. The below table shows the outcome of picking 10-12. Flip the outcomes if rolling 2-4.

Dice Roll | Probability |
---|---|

2 | 1.78% |

3 | 4.92% |

4 | 5.33% |

5 | 7.11% |

6 | 8.89% |

7 | 10.67% |

8 | 8.89% |

9 | 7.11% |

10 | 23.33% |

11 | 15.56% |

12 | 7.78% |

Similarly, the probabilities for choosing 7-9 for a dice control of 36% are as follows. Flip the values for 5-7.

Dice Roll | Probability |
---|---|

2 | 1.78% |

3 | 4.92% |

4 | 5.33% |

5 | 7.11% |

6 | 8.89% |

7 | 24.67% |

8 | 20.89% |

9 | 17.11% |

10 | 5.33% |

11 | 4.92% |

12 | 1.78% |

All items (6)