Recognised as Dice notation
4d486
- 4d486
- 4 to 1944
- mean 974
- mode 974
Rolling 4d486 gives a total between 4 and 1,944, with a mean of 974 and a standard deviation of 280.5916. There are 55,788,550,416 equally likely ordered outcomes, and the most likely total is 974 at 0.137%.
The roll
Notation4d486
Dice4
Faces per die486
Minimum total4all 4 dice showing 1
Maximum total1,944all 4 dice showing 486
Distinct totals1,941
Mean974n(f + 1)/2 + modifier, exact
Variance78,731.66666667n(f² − 1)/12, exact
Standard deviation280.59163684≈
Counting the outcomes
Ordered outcomes55,788,550,416486^4, every die distinguishable
Most likely total974
Chance of that total0.137175%≈
Ways to roll it76,527,666exact count
Chance of the minimum1.79248249 × 10^-9%≈1 in 55,788,550,416
Chance of the maximum1.79248249 × 10^-9%≈1 in 55,788,550,416
Shape of the distribution
1,941 distinct totals, too many to list individually.
1st percentile342≈1.004% of rolls are this or lower
5th percentile511≈5.033% of rolls are this or lower
25th percentile778≈25.025% of rolls are this or lower
50th percentile974≈50.069% of rolls are this or lower
75th percentile1,170≈75.086% of rolls are this or lower
95th percentile1,437≈95.007% of rolls are this or lower
99th percentile1,606≈99.008% of rolls are this or lower
Chance of rolling at least
19899.8909%≈
48995.8162%≈
97450.0686%≈
1,4594.2183%≈
1,7500.1113%≈
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