Recognised as Dice notation
5d386
- 5d386
- 5 to 1930
- mean 967.5
Rolling 5d386 gives a total between 5 and 1,930, with a mean of 967.5 and a standard deviation of 249.1611. There are 8,569,125,894,176 equally likely ordered outcomes, and the most likely total is 967 or 968 at 0.155%.
The roll
Notation5d386
Dice5
Faces per die386
Minimum total5all 5 dice showing 1
Maximum total1,930all 5 dice showing 386
Distinct totals1,926
Mean967.5n(f + 1)/2 + modifier, exact
Variance62,081.25n(f² − 1)/12, exact
Standard deviation249.16109247≈
Counting the outcomes
Ordered outcomes8,569,125,894,176386^5, every die distinguishable
Most likely total967 and 968two totals share the peak
Chance of that total0.155171%≈
Ways to roll it13,296,775,530exact count
Chance of the minimum1.16698017 × 10^-11%≈1 in 8,569,125,894,176
Chance of the maximum1.16698017 × 10^-11%≈1 in 8,569,125,894,176
Shape of the distribution
1,926 distinct totals, too many to list individually.
1st percentile403≈1.008% of rolls are this or lower
5th percentile556≈5.01% of rolls are this or lower
25th percentile795≈25.066% of rolls are this or lower
50th percentile967≈50% of rolls are this or lower
75th percentile1,140≈75.059% of rolls are this or lower
95th percentile1,379≈95.034% of rolls are this or lower
99th percentile1,532≈99.004% of rolls are this or lower
Chance of rolling at least
19899.9726%≈
48697.4479%≈
96850%≈
1,4492.5785%≈
1,7380.0274%≈
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