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Recognised as Dice notation

6d760

  • 6d760
  • 6 to 4560
  • mean 2,283
  • mode 2283

Rolling 6d760 gives a total between 6 and 4,560, with a mean of 2,283 and a standard deviation of 537.4007. There are 192,699,928,576,000,000 equally likely ordered outcomes, and the most likely total is 2,283 at 0.072%.

The roll

Notation6d760
Dice6
Faces per die760
Minimum total6all 6 dice showing 1
Maximum total4,560all 6 dice showing 760
Distinct totals4,555
Mean2,283n(f + 1)/2 + modifier, exact
Variance288,799.5n(f² − 1)/12, exact
Standard deviation537.4006885≈

Counting the outcomes

Ordered outcomes192,699,928,576,000,000760^6, every die distinguishable
Most likely total2,283
Chance of that total0.072368%≈
Ways to roll it139,454,005,424,152exact count
Chance of the minimum5.18941552 × 10^-16%≈1 in 192,699,928,576,000,000
Chance of the maximum5.18941552 × 10^-16%≈1 in 192,699,928,576,000,000

Shape of the distribution

4,555 distinct totals, too many to list individually.

1st percentile1,060≈1.005% of rolls are this or lower
5th percentile1,397≈5.018% of rolls are this or lower
25th percentile1,913≈25.058% of rolls are this or lower
50th percentile2,283≈50.036% of rolls are this or lower
75th percentile2,653≈75.001% of rolls are this or lower
95th percentile3,169≈95.002% of rolls are this or lower
99th percentile3,506≈99.001% of rolls are this or lower

Chance of rolling at least

46199.9934%≈
1,14598.4188%≈
2,28350.0362%≈
3,4221.5812%≈
4,1050.0067%≈

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Every value on this page was computed from “6d760” by Nerdulator’s games engine. Nothing here was retrieved from a database of answers or written by a model.