Recognised as Dice notation
3d189
- 3d189
- 3 to 567
- mean 285
- mode 285
Rolling 3d189 gives a total between 3 and 567, with a mean of 285 and a standard deviation of 94.4987. There are 6,751,269 equally likely ordered outcomes, and the most likely total is 285 at 0.397%.
The roll
Notation3d189
Dice3
Faces per die189
Minimum total3all 3 dice showing 1
Maximum total567all 3 dice showing 189
Distinct totals565
Mean285n(f + 1)/2 + modifier, exact
Variance8,930n(f² − 1)/12, exact
Standard deviation94.49867724≈
Counting the outcomes
Ordered outcomes6,751,269189^3, every die distinguishable
Most likely total285
Chance of that total0.396829%≈
Ways to roll it26,791exact count
Chance of the minimum0.00001481%≈1 in 6,751,269
Chance of the maximum0.00001481%≈1 in 6,751,269
Shape of the distribution
565 distinct totals, too many to list individually.
1st percentile75≈1% of rolls are this or lower
5th percentile128≈5.056% of rolls are this or lower
25th percentile218≈25.063% of rolls are this or lower
50th percentile285≈50.198% of rolls are this or lower
75th percentile352≈75.268% of rolls are this or lower
95th percentile442≈95.062% of rolls are this or lower
99th percentile495≈99.04% of rolls are this or lower
Chance of rolling at least
5999.543%≈
14492.9318%≈
28550.1984%≈
4267.2186%≈
5110.4815%≈
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