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Recognised as Dice notation

2d767

  • 2d767
  • 2 to 1534
  • mean 768
  • mode 768

Rolling 2d767 gives a total between 2 and 1,534, with a mean of 768 and a standard deviation of 313.1262. There are 588,289 equally likely ordered outcomes, and the most likely total is 768 at 0.13%.

The roll

Notation2d767
Dice2
Faces per die767
Minimum total2all 2 dice showing 1
Maximum total1,534all 2 dice showing 767
Distinct totals1,533
Mean768n(f + 1)/2 + modifier, exact
Variance98,048n(f² − 1)/12, exact
Standard deviation313.12617265≈

Counting the outcomes

Ordered outcomes588,289767^2, every die distinguishable
Most likely total768
Chance of that total0.130378%≈
Ways to roll it767exact count
Chance of the minimum0.00016998%≈1 in 588,289
Chance of the maximum0.00016998%≈1 in 588,289

Shape of the distribution

1,533 distinct totals, too many to list individually.

1st percentile109≈1.001% of rolls are this or lower
5th percentile244≈5.039% of rolls are this or lower
25th percentile543≈25.014% of rolls are this or lower
50th percentile768≈50.065% of rolls are this or lower
75th percentile993≈75.078% of rolls are this or lower
95th percentile1,292≈95.002% of rolls are this or lower
99th percentile1,427≈99.018% of rolls are this or lower

Chance of rolling at least

15597.9974%≈
38587.5%≈
76850.0652%≈
1,15112.5653%≈
1,3812.0288%≈

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Every value on this page was computed from “2d767” by Nerdulator’s games engine. Nothing here was retrieved from a database of answers or written by a model.