Dice notation
6d429
- 6d429
- 6 to 2574
- mean 1,290
- mode 1290
Rolling 6d429 gives a total between 6 and 2,574, with a mean of 1,290 and a standard deviation of 303.348. There are 6,233,669,215,980,921 equally likely ordered outcomes, and the most likely total is 1,290 at 0.128%.
The roll
Notation6d429
Dice6
Faces per die429
Minimum total6all 6 dice showing 1
Maximum total2,574all 6 dice showing 429
Distinct totals2,569
Mean1,290n(f + 1)/2 + modifier, exact
Variance92,020n(f² − 1)/12, exact
Standard deviation303.34798499≈
Counting the outcomes
Ordered outcomes6,233,669,215,980,921429^6, every die distinguishable
Most likely total1,290
Chance of that total0.128205%≈
Ways to roll it7,991,903,348,715exact count
Chance of the minimum1.60419163 × 10^-14%≈1 in 6,233,669,215,980,921
Chance of the maximum1.60419163 × 10^-14%≈1 in 6,233,669,215,980,921
Shape of the distribution
2,569 distinct totals, too many to list individually.
1st percentile599≈1.001% of rolls are this or lower
5th percentile790≈5.03% of rolls are this or lower
25th percentile1,081≈25.065% of rolls are this or lower
50th percentile1,290≈50.064% of rolls are this or lower
75th percentile1,499≈75.038% of rolls are this or lower
95th percentile1,790≈95.005% of rolls are this or lower
99th percentile1,981≈99.009% of rolls are this or lower
Chance of rolling at least
26399.9932%≈
64898.4166%≈
1,29050.0641%≈
1,9321.598%≈
2,3170.007%≈
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