Recognised as Dice notation
6d430
- 6d430
- 6 to 2580
- mean 1,293
- mode 1293
Rolling 6d430 gives a total between 6 and 2,580, with a mean of 1,293 and a standard deviation of 304.0551. There are 6,321,363,049,000,000 equally likely ordered outcomes, and the most likely total is 1,293 at 0.128%.
The roll
Notation6d430
Dice6
Faces per die430
Minimum total6all 6 dice showing 1
Maximum total2,580all 6 dice showing 430
Distinct totals2,575
Mean1,293n(f + 1)/2 + modifier, exact
Variance92,449.5n(f² − 1)/12, exact
Standard deviation304.05509369≈
Counting the outcomes
Ordered outcomes6,321,363,049,000,000430^6, every die distinguishable
Most likely total1,293
Chance of that total0.127907%≈
Ways to roll it8,085,484,241,836exact count
Chance of the minimum1.5819373 × 10^-14%≈1 in 6,321,363,049,000,000
Chance of the maximum1.5819373 × 10^-14%≈1 in 6,321,363,049,000,000
Shape of the distribution
2,575 distinct totals, too many to list individually.
1st percentile601≈1.007% of rolls are this or lower
5th percentile791≈5% of rolls are this or lower
25th percentile1,083≈25.012% of rolls are this or lower
50th percentile1,293≈50.064% of rolls are this or lower
75th percentile1,503≈75.091% of rolls are this or lower
95th percentile1,795≈95.035% of rolls are this or lower
99th percentile1,985≈99.003% of rolls are this or lower
Chance of rolling at least
26399.9933%≈
65098.4094%≈
1,29350.064%≈
1,9371.5906%≈
2,3230.0069%≈
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