Recognised as Dice notation
2d168
- 2d168
- 2 to 336
- mean 169
- mode 169
Rolling 2d168 gives a total between 2 and 336, with a mean of 169 and a standard deviation of 68.5845. There are 28,224 equally likely ordered outcomes, and the most likely total is 169 at 0.595%.
The roll
Notation2d168
Dice2
Faces per die168
Minimum total2all 2 dice showing 1
Maximum total336all 2 dice showing 168
Distinct totals335
Mean169n(f + 1)/2 + modifier, exact
Variance4,703.83333333n(f² − 1)/12, exact
Standard deviation68.58449776≈
Counting the outcomes
Ordered outcomes28,224168^2, every die distinguishable
Most likely total169
Chance of that total0.595238%≈
Ways to roll it168exact count
Chance of the minimum0.00354308%≈1 in 28,224
Chance of the maximum0.00354308%≈1 in 28,224
Shape of the distribution
335 distinct totals, too many to list individually.
1st percentile25≈1.063% of rolls are this or lower
5th percentile54≈5.07% of rolls are this or lower
25th percentile120≈25.298% of rolls are this or lower
50th percentile169≈50.298% of rolls are this or lower
75th percentile218≈75.124% of rolls are this or lower
95th percentile284≈95.118% of rolls are this or lower
99th percentile313≈99.022% of rolls are this or lower
Chance of rolling at least
3598.0123%≈
8687.3512%≈
16950.2976%≈
25312.6488%≈
3032.1081%≈
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