Dice notation
6d460
- 6d460
- 6 to 2760
- mean 1,383
- mode 1383
Rolling 6d460 gives a total between 6 and 2,760, with a mean of 1,383 and a standard deviation of 325.2684. There are 9,474,296,896,000,000 equally likely ordered outcomes, and the most likely total is 1,383 at 0.12%.
The roll
Notation6d460
Dice6
Faces per die460
Minimum total6all 6 dice showing 1
Maximum total2,760all 6 dice showing 460
Distinct totals2,755
Mean1,383n(f + 1)/2 + modifier, exact
Variance105,799.5n(f² − 1)/12, exact
Standard deviation325.26835075≈
Counting the outcomes
Ordered outcomes9,474,296,896,000,000460^6, every die distinguishable
Most likely total1,383
Chance of that total0.119565%≈
Ways to roll it11,327,988,014,092exact count
Chance of the minimum1.05548729 × 10^-14%≈1 in 9,474,296,896,000,000
Chance of the maximum1.05548729 × 10^-14%≈1 in 9,474,296,896,000,000
Shape of the distribution
2,755 distinct totals, too many to list individually.
1st percentile643≈1.009% of rolls are this or lower
5th percentile846≈5% of rolls are this or lower
25th percentile1,159≈25.072% of rolls are this or lower
50th percentile1,383≈50.06% of rolls are this or lower
75th percentile1,607≈75.025% of rolls are this or lower
95th percentile1,920≈95.033% of rolls are this or lower
99th percentile2,123≈99% of rolls are this or lower
Chance of rolling at least
28199.9933%≈
69598.4108%≈
1,38350.0598%≈
2,0721.5892%≈
2,4850.0068%≈
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