Recognised as Dice notation
6d200
- 6d200
- 6 to 1200
- mean 603
- mode 603
Rolling 6d200 gives a total between 6 and 1,200, with a mean of 603 and a standard deviation of 141.4196. There are 64,000,000,000,000 equally likely ordered outcomes, and the most likely total is 603 at 0.275%.
The roll
Notation6d200
Dice6
Faces per die200
Minimum total6all 6 dice showing 1
Maximum total1,200all 6 dice showing 200
Distinct totals1,195
Mean603n(f + 1)/2 + modifier, exact
Variance19,999.5n(f² − 1)/12, exact
Standard deviation141.41958846≈
Counting the outcomes
Ordered outcomes64,000,000,000,000200^6, every die distinguishable
Most likely total603
Chance of that total0.275003%≈
Ways to roll it176,002,000,040exact count
Chance of the minimum1.5625 × 10^-12%≈1 in 64,000,000,000,000
Chance of the maximum1.5625 × 10^-12%≈1 in 64,000,000,000,000
Shape of the distribution
1,195 distinct totals, too many to list individually.
1st percentile281≈1.009% of rolls are this or lower
5th percentile370≈5.058% of rolls are this or lower
25th percentile506≈25.221% of rolls are this or lower
50th percentile603≈50.138% of rolls are this or lower
75th percentile700≈75.001% of rolls are this or lower
95th percentile836≈95.018% of rolls are this or lower
99th percentile925≈99.012% of rolls are this or lower
Chance of rolling at least
12599.993%≈
30598.3843%≈
60350.1375%≈
9021.6157%≈
1,0810.0073%≈
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