Dice notation
5d549
- 5d549
- 5 to 2745
- mean 1,375
- mode 1375
Rolling 5d549 gives a total between 5 and 2,745, with a mean of 1,375 and a standard deviation of 354.3774. There are 49,872,566,977,749 equally likely ordered outcomes, and the most likely total is 1,375 at 0.109%.
The roll
Notation5d549
Dice5
Faces per die549
Minimum total5all 5 dice showing 1
Maximum total2,745all 5 dice showing 549
Distinct totals2,741
Mean1,375n(f + 1)/2 + modifier, exact
Variance125,583.33333333n(f² − 1)/12, exact
Standard deviation354.37738829≈
Counting the outcomes
Ordered outcomes49,872,566,977,749549^5, every die distinguishable
Most likely total1,375
Chance of that total0.1091%≈
Ways to roll it54,410,988,501exact count
Chance of the minimum2.00511035 × 10^-12%≈1 in 49,872,566,977,749
Chance of the maximum2.00511035 × 10^-12%≈1 in 49,872,566,977,749
Shape of the distribution
2,741 distinct totals, too many to list individually.
1st percentile572≈1.005% of rolls are this or lower
5th percentile790≈5.012% of rolls are this or lower
25th percentile1,130≈25.078% of rolls are this or lower
50th percentile1,375≈50.055% of rolls are this or lower
75th percentile1,620≈75.011% of rolls are this or lower
95th percentile1,960≈95.019% of rolls are this or lower
99th percentile2,178≈99.003% of rolls are this or lower
Chance of rolling at least
27999.9732%≈
69097.4471%≈
1,37550.0546%≈
2,0602.5714%≈
2,4710.0272%≈
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