Recognised as Dice notation
5d900
- 5d900
- 5 to 4500
- mean 2,252.5
Rolling 5d900 gives a total between 5 and 4,500, with a mean of 2,252.5 and a standard deviation of 580.9471. There are 590,490,000,000,000 equally likely ordered outcomes, and the most likely total is 2,252 or 2,253 at 0.067%.
The roll
Notation5d900
Dice5
Faces per die900
Minimum total5all 5 dice showing 1
Maximum total4,500all 5 dice showing 900
Distinct totals4,496
Mean2,252.5n(f + 1)/2 + modifier, exact
Variance337,499.58333333n(f² − 1)/12, exact
Standard deviation580.94714332≈
Counting the outcomes
Ordered outcomes590,490,000,000,000900^5, every die distinguishable
Most likely total2,252 and 2,253two totals share the peak
Chance of that total0.066551%≈
Ways to roll it392,976,646,875exact count
Chance of the minimum1.69350878 × 10^-13%≈1 in 590,490,000,000,000
Chance of the maximum1.69350878 × 10^-13%≈1 in 590,490,000,000,000
Shape of the distribution
4,496 distinct totals, too many to list individually.
1st percentile936≈1.003% of rolls are this or lower
5th percentile1,294≈5.015% of rolls are this or lower
25th percentile1,850≈25.014% of rolls are this or lower
50th percentile2,252≈50% of rolls are this or lower
75th percentile2,655≈75.04% of rolls are this or lower
95th percentile3,211≈95.003% of rolls are this or lower
99th percentile3,569≈99.002% of rolls are this or lower
Chance of rolling at least
45599.9734%≈
1,12997.4497%≈
2,25350%≈
3,3762.5616%≈
4,0510.0266%≈
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