Recognised as Dice notation
4d712
- 4d712
- 4 to 2848
- mean 1,426
- mode 1426
Rolling 4d712 gives a total between 4 and 2,848, with a mean of 1,426 and a standard deviation of 411.073. There are 256,992,219,136 equally likely ordered outcomes, and the most likely total is 1,426 at 0.094%.
The roll
Notation4d712
Dice4
Faces per die712
Minimum total4all 4 dice showing 1
Maximum total2,848all 4 dice showing 712
Distinct totals2,845
Mean1,426n(f + 1)/2 + modifier, exact
Variance168,981n(f² − 1)/12, exact
Standard deviation411.07298622≈
Counting the outcomes
Ordered outcomes256,992,219,136712^4, every die distinguishable
Most likely total1,426
Chance of that total0.093633%≈
Ways to roll it240,629,656exact count
Chance of the minimum3.89116839 × 10^-10%≈1 in 256,992,219,136
Chance of the maximum3.89116839 × 10^-10%≈1 in 256,992,219,136
Shape of the distribution
2,845 distinct totals, too many to list individually.
1st percentile500≈1.001% of rolls are this or lower
5th percentile747≈5.008% of rolls are this or lower
25th percentile1,139≈25.018% of rolls are this or lower
50th percentile1,426≈50.047% of rolls are this or lower
75th percentile1,713≈75.057% of rolls are this or lower
95th percentile2,105≈95.019% of rolls are this or lower
99th percentile2,352≈99.007% of rolls are this or lower
Chance of rolling at least
28899.8923%≈
71595.8216%≈
1,42650.0468%≈
2,1374.2019%≈
2,5640.1092%≈
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