Dice notation
2d455
- 2d455
- 2 to 910
- mean 456
- mode 456
Rolling 2d455 gives a total between 2 and 910, with a mean of 456 and a standard deviation of 185.7525. There are 207,025 equally likely ordered outcomes, and the most likely total is 456 at 0.22%.
The roll
Notation2d455
Dice2
Faces per die455
Minimum total2all 2 dice showing 1
Maximum total910all 2 dice showing 455
Distinct totals909
Mean456n(f + 1)/2 + modifier, exact
Variance34,504n(f² − 1)/12, exact
Standard deviation185.75252354≈
Counting the outcomes
Ordered outcomes207,025455^2, every die distinguishable
Most likely total456
Chance of that total0.21978%≈
Ways to roll it455exact count
Chance of the minimum0.00048303%≈1 in 207,025
Chance of the maximum0.00048303%≈1 in 207,025
Shape of the distribution
909 distinct totals, too many to list individually.
1st percentile65≈1.005% of rolls are this or lower
5th percentile145≈5.043% of rolls are this or lower
25th percentile323≈25.119% of rolls are this or lower
50th percentile456≈50.11% of rolls are this or lower
75th percentile589≈75.036% of rolls are this or lower
95th percentile767≈95.027% of rolls are this or lower
99th percentile847≈99.026% of rolls are this or lower
Chance of rolling at least
9397.978%≈
22987.5001%≈
45650.1099%≈
68312.6101%≈
8192.0664%≈
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