Recognised as Dice notation
5d679
- 5d679
- 5 to 3395
- mean 1,700
- mode 1700
Rolling 5d679 gives a total between 5 and 3,395, with a mean of 1,700 and a standard deviation of 438.2921. There are 144,327,427,699,399 equally likely ordered outcomes, and the most likely total is 1,700 at 0.088%.
The roll
Notation5d679
Dice5
Faces per die679
Minimum total5all 5 dice showing 1
Maximum total3,395all 5 dice showing 679
Distinct totals3,391
Mean1,700n(f + 1)/2 + modifier, exact
Variance192,100n(f² − 1)/12, exact
Standard deviation438.29214002≈
Counting the outcomes
Ordered outcomes144,327,427,699,399679^5, every die distinguishable
Most likely total1,700
Chance of that total0.088212%≈
Ways to roll it127,313,986,851exact count
Chance of the minimum6.92868997 × 10^-13%≈1 in 144,327,427,699,399
Chance of the maximum6.92868997 × 10^-13%≈1 in 144,327,427,699,399
Shape of the distribution
3,391 distinct totals, too many to list individually.
1st percentile707≈1.006% of rolls are this or lower
5th percentile977≈5.022% of rolls are this or lower
25th percentile1,397≈25.07% of rolls are this or lower
50th percentile1,700≈50.044% of rolls are this or lower
75th percentile2,003≈75.001% of rolls are this or lower
95th percentile2,423≈95.003% of rolls are this or lower
99th percentile2,693≈99.002% of rolls are this or lower
Chance of rolling at least
34499.9734%≈
85397.4423%≈
1,70050.0441%≈
2,5482.5577%≈
3,0560.027%≈
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