Recognised as Dice notation
5d884
- 5d884
- 5 to 4420
- mean 2,212.5
Rolling 5d884 gives a total between 5 and 4,420, with a mean of 2,212.5 and a standard deviation of 570.6192. There are 539,835,356,263,424 equally likely ordered outcomes, and the most likely total is 2,212 or 2,213 at 0.068%.
The roll
Notation5d884
Dice5
Faces per die884
Minimum total5all 5 dice showing 1
Maximum total4,420all 5 dice showing 884
Distinct totals4,416
Mean2,212.5n(f + 1)/2 + modifier, exact
Variance325,606.25n(f² − 1)/12, exact
Standard deviation570.61918124≈
Counting the outcomes
Ordered outcomes539,835,356,263,424884^5, every die distinguishable
Most likely total2,212 and 2,213two totals share the peak
Chance of that total0.067755%≈
Ways to roll it365,768,051,155exact count
Chance of the minimum1.85241665 × 10^-13%≈1 in 539,835,356,263,424
Chance of the maximum1.85241665 × 10^-13%≈1 in 539,835,356,263,424
Shape of the distribution
4,416 distinct totals, too many to list individually.
1st percentile919≈1.001% of rolls are this or lower
5th percentile1,271≈5.015% of rolls are this or lower
25th percentile1,817≈25.006% of rolls are this or lower
50th percentile2,212≈50% of rolls are this or lower
75th percentile2,608≈75.049% of rolls are this or lower
95th percentile3,154≈95.004% of rolls are this or lower
99th percentile3,506≈99.005% of rolls are this or lower
Chance of rolling at least
44799.9734%≈
1,10997.4495%≈
2,21350%≈
3,3162.562%≈
3,9790.0266%≈
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