Recognised as Dice notation
5d346
- 5d346
- 5 to 1730
- mean 867.5
Rolling 5d346 gives a total between 5 and 1,730, with a mean of 867.5 and a standard deviation of 223.3411. There are 4,958,844,546,976 equally likely ordered outcomes, and the most likely total is 867 or 868 at 0.173%.
The roll
Notation5d346
Dice5
Faces per die346
Minimum total5all 5 dice showing 1
Maximum total1,730all 5 dice showing 346
Distinct totals1,726
Mean867.5n(f + 1)/2 + modifier, exact
Variance49,881.25n(f² − 1)/12, exact
Standard deviation223.34110683≈
Counting the outcomes
Ordered outcomes4,958,844,546,976346^5, every die distinguishable
Most likely total867 and 868two totals share the peak
Chance of that total0.17311%≈
Ways to roll it8,584,235,780exact count
Chance of the minimum2.01659881 × 10^-11%≈1 in 4,958,844,546,976
Chance of the maximum2.01659881 × 10^-11%≈1 in 4,958,844,546,976
Shape of the distribution
1,726 distinct totals, too many to list individually.
1st percentile361≈1.002% of rolls are this or lower
5th percentile499≈5.03% of rolls are this or lower
25th percentile713≈25.091% of rolls are this or lower
50th percentile867≈50% of rolls are this or lower
75th percentile1,022≈75.049% of rolls are this or lower
95th percentile1,236≈95.019% of rolls are this or lower
99th percentile1,374≈99.012% of rolls are this or lower
Chance of rolling at least
17899.9724%≈
43697.4464%≈
86850%≈
1,2992.583%≈
1,5580.0276%≈
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