Dice odds·5d6 = 13

5d6 = 13

Rolling 5 dice, 420 of the 7,776 outcomes add up to 13 — a 5.4% chance.

Probability

5.4%

Ways for each sum
5101315202530
Ways to roll it
420 / 7,776
Probability
5.4%
One roll in
18.51
This or higher
90.2%
This or lower
15.2%
Average sum
17.5

Nearby sums

Rolls with similar odds

A different number of dice can land on much the same chance.

How to read this

  • Two dice do not land evenly. There are six ways to make 7 and only one way to make 2.
  • The more dice, the tighter the middle. With six dice almost everything lands near 21, while 6 or 36 turns up about once in 47,000 rolls.
  • The average sum is 3.5 per die, because one die averages 3.5.
  • Rare is not never — but nor is it due. Roll two dice thirty-six times and there is still roughly a 36% chance you never see a 2.

Frequently asked questions

Q. What are the odds of rolling 13 on 5 dice?

5.4% — 420 of 7,776 possible rolls, or roughly one roll in 18.51.

Q. How often do I roll 13 or more?

90.2% of the time. Rolling 13 or less happens 15.2% of the time.

Q. What is the most likely sum with this many dice?

Something near the average of 17.5. 8 sums come up more often than 13.

Q. Will it definitely turn up if I keep rolling?

No. Each roll is independent of the last. One in 18.51 is a long-run average, not a schedule.