Recognised as Dice notation
5d567
- 5d567
- 5 to 2835
- mean 1,420
- mode 1420
Rolling 5d567 gives a total between 5 and 2,835, with a mean of 1,420 and a standard deviation of 365.9964. There are 58,602,385,427,607 equally likely ordered outcomes, and the most likely total is 1,420 at 0.106%.
The roll
Notation5d567
Dice5
Faces per die567
Minimum total5all 5 dice showing 1
Maximum total2,835all 5 dice showing 567
Distinct totals2,831
Mean1,420n(f + 1)/2 + modifier, exact
Variance133,953.33333333n(f² − 1)/12, exact
Standard deviation365.99635699≈
Counting the outcomes
Ordered outcomes58,602,385,427,607567^5, every die distinguishable
Most likely total1,420
Chance of that total0.105637%≈
Ways to roll it61,905,528,351exact count
Chance of the minimum1.70641518 × 10^-12%≈1 in 58,602,385,427,607
Chance of the maximum1.70641518 × 10^-12%≈1 in 58,602,385,427,607
Shape of the distribution
2,831 distinct totals, too many to list individually.
1st percentile591≈1.008% of rolls are this or lower
5th percentile816≈5.016% of rolls are this or lower
25th percentile1,167≈25.079% of rolls are this or lower
50th percentile1,420≈50.053% of rolls are this or lower
75th percentile1,673≈75.006% of rolls are this or lower
95th percentile2,024≈95.013% of rolls are this or lower
99th percentile2,249≈99% of rolls are this or lower
Chance of rolling at least
28899.9733%≈
71397.4386%≈
1,42050.0528%≈
2,1282.5614%≈
2,5520.0272%≈
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