Dice odds·12d6 = 42

12d6 = 42

Rolling 12 dice, 144840476 of the 2,176,782,336 outcomes add up to 42 — a 6.65% chance. It is the most likely sum with this many dice.

Probability

6.65%

Ways for each sum
12172227323742475257626772
Ways to roll it
144,840,476 / 2,176,782,336
Probability
6.65%
One roll in
15.03
This or higher
53.33%
This or lower
53.33%
Average sum
42

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 42 on 12 dice?

6.65% — 144840476 of 2,176,782,336 possible rolls, or roughly one roll in 15.03.

Q. How often do I roll 42 or more?

53.33% of the time. Rolling 42 or less happens 53.33% of the time.

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

This one. The average sum is 42.

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

No. Each roll is independent of the last. One in 15.03 is a long-run average, not a schedule.