Recognised as Dice notation
5d387
- 5d387
- 5 to 1935
- mean 970
- mode 970
Rolling 5d387 gives a total between 5 and 1,935, with a mean of 970 and a standard deviation of 249.8066. There are 8,680,701,550,707 equally likely ordered outcomes, and the most likely total is 970 at 0.155%.
The roll
Notation5d387
Dice5
Faces per die387
Minimum total5all 5 dice showing 1
Maximum total1,935all 5 dice showing 387
Distinct totals1,931
Mean970n(f + 1)/2 + modifier, exact
Variance62,403.33333333n(f² − 1)/12, exact
Standard deviation249.80659185≈
Counting the outcomes
Ordered outcomes8,680,701,550,707387^5, every die distinguishable
Most likely total970
Chance of that total0.15477%≈
Ways to roll it13,435,125,651exact count
Chance of the minimum1.15198063 × 10^-11%≈1 in 8,680,701,550,707
Chance of the maximum1.15198063 × 10^-11%≈1 in 8,680,701,550,707
Shape of the distribution
1,931 distinct totals, too many to list individually.
1st percentile404≈1.008% of rolls are this or lower
5th percentile558≈5.035% of rolls are this or lower
25th percentile797≈25.059% of rolls are this or lower
50th percentile970≈50.077% of rolls are this or lower
75th percentile1,143≈75.066% of rolls are this or lower
95th percentile1,382≈95.009% of rolls are this or lower
99th percentile1,536≈99.005% of rolls are this or lower
Chance of rolling at least
19899.9729%≈
48897.4282%≈
97050.0774%≈
1,4532.5718%≈
1,7420.0278%≈
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