Recognised as Dice notation
6d273
- 6d273
- 6 to 1638
- mean 822
- mode 822
Rolling 6d273 gives a total between 6 and 1,638, with a mean of 822 and a standard deviation of 193.0389. There are 413,976,684,737,889 equally likely ordered outcomes, and the most likely total is 822 at 0.201%.
The roll
Notation6d273
Dice6
Faces per die273
Minimum total6all 6 dice showing 1
Maximum total1,638all 6 dice showing 273
Distinct totals1,633
Mean822n(f + 1)/2 + modifier, exact
Variance37,264n(f² − 1)/12, exact
Standard deviation193.03885619≈
Counting the outcomes
Ordered outcomes413,976,684,737,889273^6, every die distinguishable
Most likely total822
Chance of that total0.201466%≈
Ways to roll it834,024,048,585exact count
Chance of the minimum2.41559498 × 10^-13%≈1 in 413,976,684,737,889
Chance of the maximum2.41559498 × 10^-13%≈1 in 413,976,684,737,889
Shape of the distribution
1,633 distinct totals, too many to list individually.
1st percentile383≈1.015% of rolls are this or lower
5th percentile504≈5.051% of rolls are this or lower
25th percentile689≈25.095% of rolls are this or lower
50th percentile822≈50.101% of rolls are this or lower
75th percentile955≈75.068% of rolls are this or lower
95th percentile1,140≈95.006% of rolls are this or lower
99th percentile1,261≈99.001% of rolls are this or lower
Chance of rolling at least
16999.9931%≈
41498.4083%≈
82250.1007%≈
1,2301.6147%≈
1,4750.0071%≈
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