Scheltrum

Roll D8

One eight-sided die, numbered 1 to 8. Each face is 12.5%, which is one in eight, and the average roll is 4.5. The octahedron shape changes none of that.

1d8

Press roll.

Lowest possible 1, highest 8, average 4.5.

One in eight, every time

Eight faces, 12.5% each, average 4.5. A d8 is one of the friendlier dice to estimate with, because 12.5% is easy to double: any two faces are 25%, any four are 50%. Rolling 5 or better is 50%.

Eight rolls, eight different numbers? Almost never

People expect eight rolls to sweep the die. The chance of all eight faces appearing once each in eight rolls is 0.24%, or one time in 416. The realistic picture:

Question Answer
Repeat within three rolls 34.4%
A given face still missing after ten rolls 26.3%
Rolls needed on average to see all eight about 22

Duplicates are the normal texture of a small die. Three 6s in a row is a 1 in 64 event on any given stretch, and across an evening of rolling you should expect to hit something like it.

What a d8 is for

  • Hit dice and one-handed weapon damage in fifth edition, where 1d8 is the workhorse.
  • Compass directions: north, north-east, east and so on, eight of them, one die.
  • Any eight-item choice where you want each option to be genuinely equal.

For the same flat 12.5% without dice, use a random number from 1 to 8. Step up a size with the d10, or set your own in the dice roller.