At its simplest, a fair die means that each of the faces has the same probability of landing facing up. A standard six-sided die, for example, can be considered “fair” if each of the faces has a probability of 1/6.

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

The ol’ golf ball test

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 the probability of rolling a 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 is the probability of a die?

Since there are six possible outcomes, the probability of obtaining any side of the die is **1/6**. The probability of rolling a 1 is 1/6, the probability of rolling a 2 is 1/6, and so on.

## What is the probability of 2 dice?

Probabilities for the two dice

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

2 | 1 |
2.78% |

3 | 2 | 5.56% |

4 | 3 | 8.33% |

5 | 4 | 11.11% |

## How do you find the probability of 3 dice?

We divide the total number of ways to obtain each sum by the total number of outcomes in the sample space, or 216. The results are: Probability of **a sum of 3: 1/216 = 0.5%** Probability of a sum of 4: 3/216 = 1.4%

## How do you find probability?

**How to calculate probability**

- Determine a single event with a single outcome.
- Identify the total number of outcomes that can occur.
- Divide the number of events by the number of possible outcomes.

## When two sided dice are rolled There are 36 possible outcomes?

Every time you add an additional die, the number of possible outcomes is multiplied by 6: 2 dice 36, 3 dice 36*6 = **216 possible outcomes**.