Recognised as Dice notation
6d189
- 6d189
- 6 to 1134
- mean 570
- mode 570
Rolling 6d189 gives a total between 6 and 1,134, with a mean of 570 and a standard deviation of 133.6413. There are 45,579,633,110,361 equally likely ordered outcomes, and the most likely total is 570 at 0.291%.
The roll
Notation6d189
Dice6
Faces per die189
Minimum total6all 6 dice showing 1
Maximum total1,134all 6 dice showing 189
Distinct totals1,129
Mean570n(f + 1)/2 + modifier, exact
Variance17,860n(f² − 1)/12, exact
Standard deviation133.64131098≈
Counting the outcomes
Ordered outcomes45,579,633,110,361189^6, every die distinguishable
Most likely total570
Chance of that total0.291009%≈
Ways to roll it132,640,831,827exact count
Chance of the minimum2.19396237 × 10^-12%≈1 in 45,579,633,110,361
Chance of the maximum2.19396237 × 10^-12%≈1 in 45,579,633,110,361
Shape of the distribution
1,129 distinct totals, too many to list individually.
1st percentile266≈1.017% of rolls are this or lower
5th percentile350≈5.076% of rolls are this or lower
25th percentile478≈25.149% of rolls are this or lower
50th percentile570≈50.146% of rolls are this or lower
75th percentile662≈75.086% of rolls are this or lower
95th percentile790≈95.006% of rolls are this or lower
99th percentile874≈99.006% of rolls are this or lower
Chance of rolling at least
11999.9928%≈
28898.3982%≈
57050.1455%≈
8521.6353%≈
1,0210.0076%≈
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