Dice notation
4d701
- 4d701
- 4 to 2804
- mean 1,404
- mode 1404
Rolling 4d701 gives a total between 4 and 2,804, with a mean of 1,404 and a standard deviation of 404.7221. There are 241,474,942,801 equally likely ordered outcomes, and the most likely total is 1,404 at 0.095%.
The roll
Notation4d701
Dice4
Faces per die701
Minimum total4all 4 dice showing 1
Maximum total2,804all 4 dice showing 701
Distinct totals2,801
Mean1,404n(f + 1)/2 + modifier, exact
Variance163,800n(f² − 1)/12, exact
Standard deviation404.7221269≈
Counting the outcomes
Ordered outcomes241,474,942,801701^4, every die distinguishable
Most likely total1,404
Chance of that total0.095102%≈
Ways to roll it229,648,301exact count
Chance of the minimum4.14121643 × 10^-10%≈1 in 241,474,942,801
Chance of the maximum4.14121643 × 10^-10%≈1 in 241,474,942,801
Shape of the distribution
2,801 distinct totals, too many to list individually.
1st percentile493≈1.007% of rolls are this or lower
5th percentile736≈5.022% of rolls are this or lower
25th percentile1,122≈25.062% of rolls are this or lower
50th percentile1,404≈50.048% of rolls are this or lower
75th percentile1,686≈75.014% of rolls are this or lower
95th percentile2,072≈95.005% of rolls are this or lower
99th percentile2,315≈99.001% of rolls are this or lower
Chance of rolling at least
28499.8917%≈
70495.8215%≈
1,40450.0476%≈
2,1044.2024%≈
2,5240.1099%≈
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