Recognised as Dice notation
32d47
- 32d47
- 32 to 1504
- mean 768
- mode 768
Rolling 32d47 gives a total between 32 and 1,504, with a mean of 768 and a standard deviation of 76.7333. There are 321,463,340,914,028,260,476,243,062,478,235,279,920,395,730,789,296,641 equally likely ordered outcomes, and the most likely total is 768 at 0.517%.
The roll
Notation32d47
Dice32
Faces per die47
Minimum total32all 32 dice showing 1
Maximum total1,504all 32 dice showing 47
Distinct totals1,473
Mean768n(f + 1)/2 + modifier, exact
Variance5,888n(f² − 1)/12, exact
Standard deviation76.73330437≈
Counting the outcomes
Ordered outcomes321,463,340,914,028,260,476,243,062,478,235,279,920,395,730,789,296,64147^32, every die distinguishable
Most likely total768
Chance of that total0.517463%≈
Ways to roll it1,663,452,544,607,997,225,923,419,751,589,533,210,731,343,361,063,023exact count
Chance of the minimum3.11077461 × 10^-52%≈1 in 321,463,340,914,028,260,476,243,062,478,235,279,920,395,730,789,296,641
Chance of the maximum3.11077461 × 10^-52%≈1 in 321,463,340,914,028,260,476,243,062,478,235,279,920,395,730,789,296,641
Shape of the distribution
1,473 distinct totals, too many to list individually.
1st percentile590≈1.012% of rolls are this or lower
5th percentile642≈5.106% of rolls are this or lower
25th percentile716≈25.192% of rolls are this or lower
50th percentile768≈50.259% of rolls are this or lower
75th percentile820≈75.221% of rolls are this or lower
95th percentile894≈95.031% of rolls are this or lower
99th percentile946≈99.024% of rolls are this or lower
Chance of rolling at least
179100%≈
400100%≈
76850.2587%≈
1,1360%≈
1,3577.63455571 × 10^-17%≈
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