Dice notation
6d455
- 6d455
- 6 to 2730
- mean 1,368
- mode 1368
Rolling 6d455 gives a total between 6 and 2,730, with a mean of 1,368 and a standard deviation of 321.7328. There are 8,872,957,063,140,625 equally likely ordered outcomes, and the most likely total is 1,368 at 0.121%.
The roll
Notation6d455
Dice6
Faces per die455
Minimum total6all 6 dice showing 1
Maximum total2,730all 6 dice showing 455
Distinct totals2,725
Mean1,368n(f + 1)/2 + modifier, exact
Variance103,512n(f² − 1)/12, exact
Standard deviation321.7328084≈
Counting the outcomes
Ordered outcomes8,872,957,063,140,625455^6, every die distinguishable
Most likely total1,368
Chance of that total0.120879%≈
Ways to roll it10,725,576,043,091exact count
Chance of the minimum1.12701999 × 10^-14%≈1 in 8,872,957,063,140,625
Chance of the maximum1.12701999 × 10^-14%≈1 in 8,872,957,063,140,625
Shape of the distribution
2,725 distinct totals, too many to list individually.
1st percentile636≈1.009% of rolls are this or lower
5th percentile837≈5.006% of rolls are this or lower
25th percentile1,146≈25.03% of rolls are this or lower
50th percentile1,368≈50.06% of rolls are this or lower
75th percentile1,590≈75.068% of rolls are this or lower
95th percentile1,899≈95.028% of rolls are this or lower
99th percentile2,100≈99.001% of rolls are this or lower
Chance of rolling at least
27899.9933%≈
68798.4174%≈
1,36850.0604%≈
2,0491.5963%≈
2,4580.0068%≈
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