Recognised as Dice notation
2d348
- 2d348
- 2 to 696
- mean 349
- mode 349
Rolling 2d348 gives a total between 2 and 696, with a mean of 349 and a standard deviation of 142.0698. There are 121,104 equally likely ordered outcomes, and the most likely total is 349 at 0.287%.
The roll
Notation2d348
Dice2
Faces per die348
Minimum total2all 2 dice showing 1
Maximum total696all 2 dice showing 348
Distinct totals695
Mean349n(f + 1)/2 + modifier, exact
Variance20,183.83333333n(f² − 1)/12, exact
Standard deviation142.06981852≈
Counting the outcomes
Ordered outcomes121,104348^2, every die distinguishable
Most likely total349
Chance of that total0.287356%≈
Ways to roll it348exact count
Chance of the minimum0.00082574%≈1 in 121,104
Chance of the maximum0.00082574%≈1 in 121,104
Shape of the distribution
695 distinct totals, too many to list individually.
1st percentile50≈1.012% of rolls are this or lower
5th percentile111≈5.041% of rolls are this or lower
25th percentile247≈25.087% of rolls are this or lower
50th percentile349≈50.144% of rolls are this or lower
75th percentile451≈75.116% of rolls are this or lower
95th percentile587≈95.05% of rolls are this or lower
99th percentile648≈99.029% of rolls are this or lower
Chance of rolling at least
7198.0058%≈
17687.4282%≈
34950.1437%≈
52312.5718%≈
6272.052%≈
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