Dice notation
6d557
- 6d557
- 6 to 3342
- mean 1,674
- mode 1674
Rolling 6d557 gives a total between 6 and 3,342, with a mean of 1,674 and a standard deviation of 393.8578. There are 29,862,844,376,368,249 equally likely ordered outcomes, and the most likely total is 1,674 at 0.099%.
The roll
Notation6d557
Dice6
Faces per die557
Minimum total6all 6 dice showing 1
Maximum total3,342all 6 dice showing 557
Distinct totals3,337
Mean1,674n(f + 1)/2 + modifier, exact
Variance155,124n(f² − 1)/12, exact
Standard deviation393.85784237≈
Counting the outcomes
Ordered outcomes29,862,844,376,368,249557^6, every die distinguishable
Most likely total1,674
Chance of that total0.098743%≈
Ways to roll it29,487,591,509,291exact count
Chance of the minimum3.34864284 × 10^-15%≈1 in 29,862,844,376,368,249
Chance of the maximum3.34864284 × 10^-15%≈1 in 29,862,844,376,368,249
Shape of the distribution
3,337 distinct totals, too many to list individually.
1st percentile777≈1.001% of rolls are this or lower
5th percentile1,024≈5.004% of rolls are this or lower
25th percentile1,402≈25.002% of rolls are this or lower
50th percentile1,674≈50.049% of rolls are this or lower
75th percentile1,946≈75.077% of rolls are this or lower
95th percentile2,324≈95.024% of rolls are this or lower
99th percentile2,571≈99.007% of rolls are this or lower
Chance of rolling at least
34099.9932%≈
84098.4199%≈
1,67450.0494%≈
2,5081.5913%≈
3,0080.0069%≈
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