Recognised as Dice notation
4d430
- 4d430
- 4 to 1720
- mean 862
- mode 862
Rolling 4d430 gives a total between 4 and 1,720, with a mean of 862 and a standard deviation of 248.2599. There are 34,188,010,000 equally likely ordered outcomes, and the most likely total is 862 at 0.155%.
The roll
Notation4d430
Dice4
Faces per die430
Minimum total4all 4 dice showing 1
Maximum total1,720all 4 dice showing 430
Distinct totals1,717
Mean862n(f + 1)/2 + modifier, exact
Variance61,633n(f² − 1)/12, exact
Standard deviation248.25994441≈
Counting the outcomes
Ordered outcomes34,188,010,000430^4, every die distinguishable
Most likely total862
Chance of that total0.155039%≈
Ways to roll it53,004,810exact count
Chance of the minimum2.92500207 × 10^-9%≈1 in 34,188,010,000
Chance of the maximum2.92500207 × 10^-9%≈1 in 34,188,010,000
Shape of the distribution
1,717 distinct totals, too many to list individually.
1st percentile303≈1.007% of rolls are this or lower
5th percentile452≈5.02% of rolls are this or lower
25th percentile689≈25.084% of rolls are this or lower
50th percentile862≈50.078% of rolls are this or lower
75th percentile1,035≈75.041% of rolls are this or lower
95th percentile1,272≈95.025% of rolls are this or lower
99th percentile1,421≈99.006% of rolls are this or lower
Chance of rolling at least
17699.8896%≈
43395.814%≈
86250.0775%≈
1,2914.2251%≈
1,5480.113%≈
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Nerdulate something else
Nothing in mind? Surprise me · today’s page