Roll D6
One six-sided die, rolled as often as you like. Every face has the same chance on every roll, which makes this the only genuinely flat distribution in the whole dice set.
1d6 1
Press roll.
Lowest possible 1, highest 6, average 3.5.
Every face is 16.67%
One die, six outcomes, and no ways of arriving at any of them other than directly. That is what a uniform distribution means, and it is why a single die is the only honest way to pick one of six things.
| Face | Chance |
|---|---|
| 1 | 1 in 6 (16.67%) |
| 2 | 1 in 6 (16.67%) |
| 3 | 1 in 6 (16.67%) |
| 4 | 1 in 6 (16.67%) |
| 5 | 1 in 6 (16.67%) |
| 6 | 1 in 6 (16.67%) |
The average roll is 3.5, a number the die can never actually show.
Nothing is ever due
A die does not know what it did last time. After three sixes, the chance of a fourth six is 16.67%, exactly what it was before. A face that has not appeared for twenty rolls is not owed to you, and a run of sixes will not be paid back later.
Six rolls do not give you six faces
People expect a die to work its way through the faces. It does not.
- Roll six times and all six faces appear only 1.5% of the time.
- Roll six times and 33.5% of the time no six turns up at all.
- On average it takes 14.7 rolls before every face has been seen once.
What it stands in for
A die lost under the sofa, an argument about who goes first, or any choice between six options. For the same odds without the die, random number 1 to 6 is identical. Add a second die at 2d6, or see the dice roller for the other shapes.