Recognised as Dice notation
75d28
- 75d28
- 75 to 2100
- mean 1,087.5
Rolling 75d28 gives a total between 75 and 2,100, with a mean of 1,087.5 and a standard deviation of 69.9553. There are 3,442,328,802,407,072,638,682,351,811,016,336,042,839,055,686,289,834,057,525,517,246,504,040,812,905,326,720,939,716,834,016,031,963,906,834,432 equally likely ordered outcomes, and the most likely total is 1,087 or 1,088 at 0.569%.
The roll
Notation75d28
Dice75
Faces per die28
Minimum total75all 75 dice showing 1
Maximum total2,100all 75 dice showing 28
Distinct totals2,026
Mean1,087.5n(f + 1)/2 + modifier, exact
Variance4,893.75n(f² − 1)/12, exact
Standard deviation69.9553429≈
Counting the outcomes
Ordered outcomes3,442,328,802,407,072,638,682,351,811,016,336,042,839,055,686,289,834,057,525,517,246,504,040,812,905,326,720,939,716,834,016,031,963,906,834,43228^75, every die distinguishable
Most likely total1,087 and 1,088two totals share the peak
Chance of that total0.569122%≈
Ways to roll it19,591,061,195,564,977,810,620,422,874,852,662,572,506,483,846,082,301,969,237,957,173,236,335,151,544,059,237,122,335,922,582,975,996,783,700exact count
Chance of the minimum2.90501012 × 10^-107%≈1 in 3,442,328,802,407,072,638,682,351,811,016,336,042,839,055,686,289,834,057,525,517,246,504,040,812,905,326,720,939,716,834,016,031,963,906,834,432
Chance of the maximum2.90501012 × 10^-107%≈1 in 3,442,328,802,407,072,638,682,351,811,016,336,042,839,055,686,289,834,057,525,517,246,504,040,812,905,326,720,939,716,834,016,031,963,906,834,432
Shape of the distribution
2,026 distinct totals, too many to list individually.
1st percentile925≈1.018% of rolls are this or lower
5th percentile972≈5.013% of rolls are this or lower
25th percentile1,040≈25.12% of rolls are this or lower
50th percentile1,087≈50% of rolls are this or lower
75th percentile1,135≈75.333% of rolls are this or lower
95th percentile1,203≈95.133% of rolls are this or lower
99th percentile1,250≈99.02% of rolls are this or lower
Chance of rolling at least
278100%≈
581100%≈
1,08850%≈
1,5942.97153967 × 10^-12%≈
1,8982.80647092 × 10^-38%≈
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