Recognised as Dice notation
6d660
- 6d660
- 6 to 3960
- mean 1,983
- mode 1983
Rolling 6d660 gives a total between 6 and 3,960, with a mean of 1,983 and a standard deviation of 466.6899. There are 82,653,950,016,000,000 equally likely ordered outcomes, and the most likely total is 1,983 at 0.083%.
The roll
Notation6d660
Dice6
Faces per die660
Minimum total6all 6 dice showing 1
Maximum total3,960all 6 dice showing 660
Distinct totals3,955
Mean1,983n(f + 1)/2 + modifier, exact
Variance217,799.5n(f² − 1)/12, exact
Standard deviation466.6899399≈
Counting the outcomes
Ordered outcomes82,653,950,016,000,000660^6, every die distinguishable
Most likely total1,983
Chance of that total0.083333%≈
Ways to roll it68,878,363,554,132exact count
Chance of the minimum1.20986353 × 10^-15%≈1 in 82,653,950,016,000,000
Chance of the maximum1.20986353 × 10^-15%≈1 in 82,653,950,016,000,000
Shape of the distribution
3,955 distinct totals, too many to list individually.
1st percentile921≈1.006% of rolls are this or lower
5th percentile1,213≈5.006% of rolls are this or lower
25th percentile1,661≈25.016% of rolls are this or lower
50th percentile1,983≈50.042% of rolls are this or lower
75th percentile2,305≈75.051% of rolls are this or lower
95th percentile2,753≈95.017% of rolls are this or lower
99th percentile3,045≈99.001% of rolls are this or lower
Chance of rolling at least
40199.9934%≈
99598.4169%≈
1,98350.0417%≈
2,9721.5831%≈
3,5650.0067%≈
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