Recognised as Dice notation
52d24
- 52d24
- 52 to 1248
- mean 650
- mode 650
Rolling 52d24 gives a total between 52 and 1,248, with a mean of 650 and a standard deviation of 49.9166. There are 590,180,110,002,114,158,896,983,994,712,576,414,865,667,267,958,188,575,935,810,179,040,280,576 equally likely ordered outcomes, and the most likely total is 650 at 0.797%.
The roll
Notation52d24
Dice52
Faces per die24
Minimum total52all 52 dice showing 1
Maximum total1,248all 52 dice showing 24
Distinct totals1,197
Mean650n(f + 1)/2 + modifier, exact
Variance2,491.66666667n(f² − 1)/12, exact
Standard deviation49.91659711≈
Counting the outcomes
Ordered outcomes590,180,110,002,114,158,896,983,994,712,576,414,865,667,267,958,188,575,935,810,179,040,280,57624^52, every die distinguishable
Most likely total650
Chance of that total0.796901%≈
Ways to roll it4,703,150,705,532,864,440,459,171,736,830,172,410,838,857,274,356,623,279,130,978,062,078,176exact count
Chance of the minimum1.694398 × 10^-70%≈1 in 590,180,110,002,114,158,896,983,994,712,576,414,865,667,267,958,188,575,935,810,179,040,280,576
Chance of the maximum1.694398 × 10^-70%≈1 in 590,180,110,002,114,158,896,983,994,712,576,414,865,667,267,958,188,575,935,810,179,040,280,576
Shape of the distribution
1,197 distinct totals, too many to list individually.
1st percentile534≈1.019% of rolls are this or lower
5th percentile568≈5.132% of rolls are this or lower
25th percentile616≈25.16% of rolls are this or lower
50th percentile650≈50.398% of rolls are this or lower
75th percentile684≈75.474% of rolls are this or lower
95th percentile732≈95.077% of rolls are this or lower
99th percentile766≈99.035% of rolls are this or lower
Chance of rolling at least
172100%≈
351100%≈
65050.3985%≈
9492.84851514 × 10^-8%≈
1,1286.67501039 × 10^-26%≈
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