Recognised as Dice notation
6d916
- 6d916
- 6 to 5496
- mean 2,751
- mode 2751
Rolling 6d916 gives a total between 6 and 5,496, with a mean of 2,751 and a standard deviation of 647.7094. There are 590,707,985,621,487,616 equally likely ordered outcomes, and the most likely total is 2,751 at 0.06%.
The roll
Notation6d916
Dice6
Faces per die916
Minimum total6all 6 dice showing 1
Maximum total5,496all 6 dice showing 916
Distinct totals5,491
Mean2,751n(f + 1)/2 + modifier, exact
Variance419,527.5n(f² − 1)/12, exact
Standard deviation647.70942559≈
Counting the outcomes
Ordered outcomes590,707,985,621,487,616916^6, every die distinguishable
Most likely total2,751
Chance of that total0.060044%≈
Ways to roll it354,682,934,602,324exact count
Chance of the minimum1.69288383 × 10^-16%≈1 in 590,707,985,621,487,616
Chance of the maximum1.69288383 × 10^-16%≈1 in 590,707,985,621,487,616
Shape of the distribution
5,491 distinct totals, too many to list individually.
1st percentile1,276≈1% of rolls are this or lower
5th percentile1,683≈5.014% of rolls are this or lower
25th percentile2,304≈25.002% of rolls are this or lower
50th percentile2,751≈50.03% of rolls are this or lower
75th percentile3,198≈75.047% of rolls are this or lower
95th percentile3,819≈95.003% of rolls are this or lower
99th percentile4,226≈99.005% of rolls are this or lower
Chance of rolling at least
55599.9934%≈
1,37998.4209%≈
2,75150.03%≈
4,1241.5791%≈
4,9470.0067%≈
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