Dice notation
5d959
- 5d959
- 5 to 4795
- mean 2,400
- mode 2400
Rolling 5d959 gives a total between 5 and 4,795, with a mean of 2,400 and a standard deviation of 619.0315. There are 811,134,802,948,799 equally likely ordered outcomes, and the most likely total is 2,400 at 0.062%.
The roll
Notation5d959
Dice5
Faces per die959
Minimum total5all 5 dice showing 1
Maximum total4,795all 5 dice showing 959
Distinct totals4,791
Mean2,400n(f + 1)/2 + modifier, exact
Variance383,200n(f² − 1)/12, exact
Standard deviation619.03150162≈
Counting the outcomes
Ordered outcomes811,134,802,948,799959^5, every die distinguishable
Most likely total2,400
Chance of that total0.062457%≈
Ways to roll it506,607,069,201exact count
Chance of the minimum1.2328407 × 10^-13%≈1 in 811,134,802,948,799
Chance of the maximum1.2328407 × 10^-13%≈1 in 811,134,802,948,799
Shape of the distribution
4,791 distinct totals, too many to list individually.
1st percentile997≈1.002% of rolls are this or lower
5th percentile1,378≈5.003% of rolls are this or lower
25th percentile1,971≈25.007% of rolls are this or lower
50th percentile2,400≈50.031% of rolls are this or lower
75th percentile2,829≈75.044% of rolls are this or lower
95th percentile3,422≈95.015% of rolls are this or lower
99th percentile3,803≈99.003% of rolls are this or lower
Chance of rolling at least
48499.9735%≈
1,20397.4478%≈
2,40050.0312%≈
3,5982.5522%≈
4,3160.0267%≈
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