Recognised as Dice notation
6d900
- 6d900
- 6 to 5400
- mean 2,703
- mode 2703
Rolling 6d900 gives a total between 6 and 5,400, with a mean of 2,703 and a standard deviation of 636.3957. There are 531,441,000,000,000,000 equally likely ordered outcomes, and the most likely total is 2,703 at 0.061%.
The roll
Notation6d900
Dice6
Faces per die900
Minimum total6all 6 dice showing 1
Maximum total5,400all 6 dice showing 900
Distinct totals5,395
Mean2,703n(f + 1)/2 + modifier, exact
Variance404,999.5n(f² − 1)/12, exact
Standard deviation636.39571023≈
Counting the outcomes
Ordered outcomes531,441,000,000,000,000900^6, every die distinguishable
Most likely total2,703
Chance of that total0.061111%≈
Ways to roll it324,769,682,250,180exact count
Chance of the minimum1.88167642 × 10^-16%≈1 in 531,441,000,000,000,000
Chance of the maximum1.88167642 × 10^-16%≈1 in 531,441,000,000,000,000
Shape of the distribution
5,395 distinct totals, too many to list individually.
1st percentile1,254≈1.001% of rolls are this or lower
5th percentile1,653≈5.003% of rolls are this or lower
25th percentile2,264≈25.012% of rolls are this or lower
50th percentile2,703≈50.031% of rolls are this or lower
75th percentile3,142≈75.037% of rolls are this or lower
95th percentile3,753≈95.014% of rolls are this or lower
99th percentile4,152≈99.004% of rolls are this or lower
Chance of rolling at least
54599.9934%≈
1,35598.4207%≈
2,70350.0306%≈
4,0521.5793%≈
4,8610.0067%≈
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