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## When we roll a dice What are the six possible outcomes?

Rolling dice

When you roll a single die, you can get six possible outcomes: **1, 2, 3, 4, 5, or 6**. However, when you roll two dice, this number jumps to 36, as shown in the following figure.

## What type of probability is rolling a dice?

3/36 + 6/36 = 9/36. Probability of rolling a certain number or less for two 6-sided dice.

…

Two (6-sided) dice roll probability table.

Roll a… | Probability |
---|---|

2 | 1/36 (2.778%) |

3 | 3/36 (8.333%) |

4 | 6/36 (16.667%) |

5 | 10/36 (27.778%) |

## What are all the possible outcomes of rolling 2 dice?

Note that there are **36 possibilities for (a,b)**. This total number of possibilities can be obtained from the multiplication principle: there are 6 possibilities for a, and for each outcome for a, there are 6 possibilities for b. So, the total number of joint outcomes (a,b) is 6 times 6 which is 36.

## What is the probability of getting a 7 when rolling 2 dice?

Probabilities for the two dice

Total | Number of combinations | Probability |
---|---|---|

4 | 3 | 8.33% |

5 | 4 | 11.11% |

6 | 5 | 13.89% |

7 | 6 |
16.67% |

## How do you know if a dice is rigged?

Place the die in the water, note which side of the die faces upwards, and then give it a flick. For reasonably balanced dice, you should see a good variety of numbers facing upwards. For badly balanced dice, you’ll probably see the same one or two faces regularly. **Throw those bad dice out**.

## What is unfair dice?

In the example below, we will throw an unfair dice, where the probability of landing on the side with 1 is 60 percent, and the chance of landing on each successive side is 60 percent of the chance of landing on the previous side. This is a dice **weighted towards the smaller numbers**.