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Recognised as Dice notation

6d890

  • 6d890
  • 6 to 5340
  • mean 2,673
  • mode 2673

Rolling 6d890 gives a total between 6 and 5,340, with a mean of 2,673 and a standard deviation of 629.3246. There are 496,981,290,961,000,000 equally likely ordered outcomes, and the most likely total is 2,673 at 0.062%.

The roll

Notation6d890
Dice6
Faces per die890
Minimum total6all 6 dice showing 1
Maximum total5,340all 6 dice showing 890
Distinct totals5,335
Mean2,673n(f + 1)/2 + modifier, exact
Variance396,049.5n(f² − 1)/12, exact
Standard deviation629.324638≈

Counting the outcomes

Ordered outcomes496,981,290,961,000,000890^6, every die distinguishable
Most likely total2,673
Chance of that total0.061798%≈
Ways to roll it307,123,445,937,428exact count
Chance of the minimum2.01214818 × 10^-16%≈1 in 496,981,290,961,000,000
Chance of the maximum2.01214818 × 10^-16%≈1 in 496,981,290,961,000,000

Shape of the distribution

5,335 distinct totals, too many to list individually.

1st percentile1,240≈1.001% of rolls are this or lower
5th percentile1,635≈5.009% of rolls are this or lower
25th percentile2,239≈25.018% of rolls are this or lower
50th percentile2,673≈50.031% of rolls are this or lower
75th percentile3,107≈75.032% of rolls are this or lower
95th percentile3,711≈95.008% of rolls are this or lower
99th percentile4,106≈99.004% of rolls are this or lower

Chance of rolling at least

53999.9934%≈
1,34098.4206%≈
2,67350.0309%≈
4,0071.5794%≈
4,8070.0067%≈

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Every value on this page was computed from “6d890” by Nerdulator’s games engine. Nothing here was retrieved from a database of answers or written by a model.