Recognised as Dice notation
6d592
- 6d592
- 6 to 3552
- mean 1,779
- mode 1779
Rolling 6d592 gives a total between 6 and 3,552, with a mean of 1,779 and a standard deviation of 418.6066. There are 43,045,746,160,697,344 equally likely ordered outcomes, and the most likely total is 1,779 at 0.093%.
The roll
Notation6d592
Dice6
Faces per die592
Minimum total6all 6 dice showing 1
Maximum total3,552all 6 dice showing 592
Distinct totals3,547
Mean1,779n(f + 1)/2 + modifier, exact
Variance175,231.5n(f² − 1)/12, exact
Standard deviation418.60661724≈
Counting the outcomes
Ordered outcomes43,045,746,160,697,344592^6, every die distinguishable
Most likely total1,779
Chance of that total0.092906%≈
Ways to roll it39,991,876,849,168exact count
Chance of the minimum2.32310992 × 10^-15%≈1 in 43,045,746,160,697,344
Chance of the maximum2.32310992 × 10^-15%≈1 in 43,045,746,160,697,344
Shape of the distribution
3,547 distinct totals, too many to list individually.
1st percentile826≈1.003% of rolls are this or lower
5th percentile1,089≈5.025% of rolls are this or lower
25th percentile1,490≈25.007% of rolls are this or lower
50th percentile1,779≈50.046% of rolls are this or lower
75th percentile2,068≈75.068% of rolls are this or lower
95th percentile2,469≈95.001% of rolls are this or lower
99th percentile2,732≈99.004% of rolls are this or lower
Chance of rolling at least
36199.9933%≈
89398.4153%≈
1,77950.0465%≈
2,6661.5847%≈
3,1970.0068%≈
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