Recognised as Dice notation
50d12
- 50d12
- 50 to 600
- mean 325
- mode 325
Rolling 50d12 gives a total between 50 and 600, with a mean of 325 and a standard deviation of 24.4097. There are 910,043,815,000,214,977,332,758,527,534,256,632,492,715,260,325,658,624 equally likely ordered outcomes, and the most likely total is 325 at 1.629%.
The roll
Notation50d12
Dice50
Faces per die12
Minimum total50all 50 dice showing 1
Maximum total600all 50 dice showing 12
Distinct totals551
Mean325n(f + 1)/2 + modifier, exact
Variance595.83333333n(f² − 1)/12, exact
Standard deviation24.40969753≈
Counting the outcomes
Ordered outcomes910,043,815,000,214,977,332,758,527,534,256,632,492,715,260,325,658,62412^50, every die distinguishable
Most likely total325
Chance of that total1.629381%≈
Ways to roll it14,828,081,987,922,136,969,683,592,410,279,689,369,975,793,194,044,512exact count
Chance of the minimum1.09884819 × 10^-52%≈1 in 910,043,815,000,214,977,332,758,527,534,256,632,492,715,260,325,658,624
Chance of the maximum1.09884819 × 10^-52%≈1 in 910,043,815,000,214,977,332,758,527,534,256,632,492,715,260,325,658,624
Shape of the distribution
551 distinct totals, too many to list individually.
1st percentile268≈1.016% of rolls are this or lower
5th percentile285≈5.286% of rolls are this or lower
25th percentile308≈25.007% of rolls are this or lower
50th percentile325≈50.815% of rolls are this or lower
75th percentile342≈76.275% of rolls are this or lower
95th percentile365≈95.143% of rolls are this or lower
99th percentile382≈99.091% of rolls are this or lower
Chance of rolling at least
105100%≈
188100%≈
32550.8147%≈
4632.91992095 × 10^-7%≈
5453.04272367 × 10^-22%≈
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