Recognised as Dice notation
2d675
- 2d675
- 2 to 1350
- mean 676
- mode 676
Rolling 2d675 gives a total between 2 and 1,350, with a mean of 676 and a standard deviation of 275.5673. There are 455,625 equally likely ordered outcomes, and the most likely total is 676 at 0.148%.
The roll
Notation2d675
Dice2
Faces per die675
Minimum total2all 2 dice showing 1
Maximum total1,350all 2 dice showing 675
Distinct totals1,349
Mean676n(f + 1)/2 + modifier, exact
Variance75,937.33333333n(f² − 1)/12, exact
Standard deviation275.56729366≈
Counting the outcomes
Ordered outcomes455,625675^2, every die distinguishable
Most likely total676
Chance of that total0.148148%≈
Ways to roll it675exact count
Chance of the minimum0.00021948%≈1 in 455,625
Chance of the maximum0.00021948%≈1 in 455,625
Shape of the distribution
1,349 distinct totals, too many to list individually.
1st percentile96≈1.001% of rolls are this or lower
5th percentile214≈5.002% of rolls are this or lower
25th percentile478≈25.021% of rolls are this or lower
50th percentile676≈50.074% of rolls are this or lower
75th percentile874≈75.083% of rolls are this or lower
95th percentile1,138≈95.045% of rolls are this or lower
99th percentile1,256≈99.02% of rolls are this or lower
Chance of rolling at least
13797.9852%≈
33987.5%≈
67650.0741%≈
1,01312.5742%≈
1,2152.0447%≈
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