Dice notation
4d393
- 4d393
- 4 to 1572
- mean 788
- mode 788
Rolling 4d393 gives a total between 4 and 1,572, with a mean of 788 and a standard deviation of 226.8979. There are 23,854,493,601 equally likely ordered outcomes, and the most likely total is 788 at 0.17%.
The roll
Notation4d393
Dice4
Faces per die393
Minimum total4all 4 dice showing 1
Maximum total1,572all 4 dice showing 393
Distinct totals1,569
Mean788n(f + 1)/2 + modifier, exact
Variance51,482.66666667n(f² − 1)/12, exact
Standard deviation226.89792125≈
Counting the outcomes
Ordered outcomes23,854,493,601393^4, every die distinguishable
Most likely total788
Chance of that total0.169636%≈
Ways to roll it40,465,769exact count
Chance of the minimum4.19208228 × 10^-9%≈1 in 23,854,493,601
Chance of the maximum4.19208228 × 10^-9%≈1 in 23,854,493,601
Shape of the distribution
1,569 distinct totals, too many to list individually.
1st percentile277≈1.006% of rolls are this or lower
5th percentile413≈5.008% of rolls are this or lower
25th percentile630≈25.105% of rolls are this or lower
50th percentile788≈50.085% of rolls are this or lower
75th percentile946≈75.031% of rolls are this or lower
95th percentile1,163≈95.04% of rolls are this or lower
99th percentile1,299≈99.008% of rolls are this or lower
Chance of rolling at least
16199.8898%≈
39695.8122%≈
78850.0848%≈
1,1804.2306%≈
1,4150.113%≈
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