Dice notation
6d612
- 6d612
- 6 to 3672
- mean 1,839
- mode 1839
Rolling 6d612 gives a total between 6 and 3,672, with a mean of 1,839 and a standard deviation of 432.7488. There are 52,542,233,833,181,184 equally likely ordered outcomes, and the most likely total is 1,839 at 0.09%.
The roll
Notation6d612
Dice6
Faces per die612
Minimum total6all 6 dice showing 1
Maximum total3,672all 6 dice showing 612
Distinct totals3,667
Mean1,839n(f + 1)/2 + modifier, exact
Variance187,271.5n(f² − 1)/12, exact
Standard deviation432.74877238≈
Counting the outcomes
Ordered outcomes52,542,233,833,181,184612^6, every die distinguishable
Most likely total1,839
Chance of that total0.089869%≈
Ways to roll it47,219,385,096,612exact count
Chance of the minimum1.90323084 × 10^-15%≈1 in 52,542,233,833,181,184
Chance of the maximum1.90323084 × 10^-15%≈1 in 52,542,233,833,181,184
Shape of the distribution
3,667 distinct totals, too many to list individually.
1st percentile854≈1.005% of rolls are this or lower
5th percentile1,125≈5.007% of rolls are this or lower
25th percentile1,541≈25.061% of rolls are this or lower
50th percentile1,839≈50.045% of rolls are this or lower
75th percentile2,137≈75.011% of rolls are this or lower
95th percentile2,553≈95.018% of rolls are this or lower
99th percentile2,824≈99.002% of rolls are this or lower
Chance of rolling at least
37399.9933%≈
92398.4158%≈
1,83950.0449%≈
2,7561.5842%≈
3,3050.0068%≈
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