Recognised as Dice notation
5d365
- 5d365
- 5 to 1825
- mean 915
- mode 915
Rolling 5d365 gives a total between 5 and 1,825, with a mean of 915 and a standard deviation of 235.6056. There are 6,478,348,728,125 equally likely ordered outcomes, and the most likely total is 915 at 0.164%.
The roll
Notation5d365
Dice5
Faces per die365
Minimum total5all 5 dice showing 1
Maximum total1,825all 5 dice showing 365
Distinct totals1,821
Mean915n(f + 1)/2 + modifier, exact
Variance55,510n(f² − 1)/12, exact
Standard deviation235.60560265≈
Counting the outcomes
Ordered outcomes6,478,348,728,125365^5, every die distinguishable
Most likely total915
Chance of that total0.164099%≈
Ways to roll it10,630,886,631exact count
Chance of the minimum1.54360323 × 10^-11%≈1 in 6,478,348,728,125
Chance of the maximum1.54360323 × 10^-11%≈1 in 6,478,348,728,125
Shape of the distribution
1,821 distinct totals, too many to list individually.
1st percentile381≈1.006% of rolls are this or lower
5th percentile526≈5.016% of rolls are this or lower
25th percentile752≈25.085% of rolls are this or lower
50th percentile915≈50.082% of rolls are this or lower
75th percentile1,078≈75.048% of rolls are this or lower
95th percentile1,304≈95.03% of rolls are this or lower
99th percentile1,449≈99.007% of rolls are this or lower
Chance of rolling at least
18799.9729%≈
46097.4402%≈
91550.082%≈
1,3702.5877%≈
1,6430.0279%≈
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