Recognised as Dice notation
6d204
- 6d204
- 6 to 1224
- mean 615
- mode 615
Rolling 6d204 gives a total between 6 and 1,224, with a mean of 615 and a standard deviation of 144.2481. There are 72,074,394,832,896 equally likely ordered outcomes, and the most likely total is 615 at 0.27%.
The roll
Notation6d204
Dice6
Faces per die204
Minimum total6all 6 dice showing 1
Maximum total1,224all 6 dice showing 204
Distinct totals1,219
Mean615n(f + 1)/2 + modifier, exact
Variance20,807.5n(f² − 1)/12, exact
Standard deviation144.24805025≈
Counting the outcomes
Ordered outcomes72,074,394,832,896204^6, every die distinguishable
Most likely total615
Chance of that total0.269611%≈
Ways to roll it194,320,343,820exact count
Chance of the minimum1.38745528 × 10^-12%≈1 in 72,074,394,832,896
Chance of the maximum1.38745528 × 10^-12%≈1 in 72,074,394,832,896
Shape of the distribution
1,219 distinct totals, too many to list individually.
1st percentile287≈1.019% of rolls are this or lower
5th percentile377≈5.032% of rolls are this or lower
25th percentile516≈25.206% of rolls are this or lower
50th percentile615≈50.135% of rolls are this or lower
75th percentile714≈75.012% of rolls are this or lower
95th percentile853≈95.043% of rolls are this or lower
99th percentile943≈99.003% of rolls are this or lower
Chance of rolling at least
12899.9928%≈
31198.3852%≈
61550.1348%≈
9201.6148%≈
1,1020.0075%≈
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