Dice notation
3d469
- 3d469
- 3 to 1407
- mean 705
- mode 705
Rolling 3d469 gives a total between 3 and 1,407, with a mean of 705 and a standard deviation of 234.4995. There are 103,161,709 equally likely ordered outcomes, and the most likely total is 705 at 0.16%.
The roll
Notation3d469
Dice3
Faces per die469
Minimum total3all 3 dice showing 1
Maximum total1,407all 3 dice showing 469
Distinct totals1,405
Mean705n(f + 1)/2 + modifier, exact
Variance54,990n(f² − 1)/12, exact
Standard deviation234.49946695≈
Counting the outcomes
Ordered outcomes103,161,709469^3, every die distinguishable
Most likely total705
Chance of that total0.159915%≈
Ways to roll it164,971exact count
Chance of the minimum9.69351913 × 10^-7%≈1 in 103,161,709
Chance of the maximum9.69351913 × 10^-7%≈1 in 103,161,709
Shape of the distribution
1,405 distinct totals, too many to list individually.
1st percentile185≈1.006% of rolls are this or lower
5th percentile315≈5.002% of rolls are this or lower
25th percentile540≈25.132% of rolls are this or lower
50th percentile705≈50.08% of rolls are this or lower
75th percentile870≈75.001% of rolls are this or lower
95th percentile1,095≈95.046% of rolls are this or lower
99th percentile1,225≈99.01% of rolls are this or lower
Chance of rolling at least
14399.5471%≈
35492.9538%≈
70550.08%≈
1,0567.1064%≈
1,2670.4626%≈
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