Dice notation
5d467
- 5d467
- 5 to 2335
- mean 1,170
- mode 1170
Rolling 5d467 gives a total between 5 and 2,335, with a mean of 1,170 and a standard deviation of 301.4465. There are 22,211,833,167,107 equally likely ordered outcomes, and the most likely total is 1,170 at 0.128%.
The roll
Notation5d467
Dice5
Faces per die467
Minimum total5all 5 dice showing 1
Maximum total2,335all 5 dice showing 467
Distinct totals2,331
Mean1,170n(f + 1)/2 + modifier, exact
Variance90,870n(f² − 1)/12, exact
Standard deviation301.44651267≈
Counting the outcomes
Ordered outcomes22,211,833,167,107467^5, every die distinguishable
Most likely total1,170
Chance of that total0.128257%≈
Ways to roll it28,488,199,351exact count
Chance of the minimum4.50210477 × 10^-12%≈1 in 22,211,833,167,107
Chance of the maximum4.50210477 × 10^-12%≈1 in 22,211,833,167,107
Shape of the distribution
2,331 distinct totals, too many to list individually.
1st percentile487≈1.007% of rolls are this or lower
5th percentile672≈5.001% of rolls are this or lower
25th percentile961≈25.024% of rolls are this or lower
50th percentile1,170≈50.064% of rolls are this or lower
75th percentile1,379≈75.08% of rolls are this or lower
95th percentile1,668≈95.035% of rolls are this or lower
99th percentile1,853≈99.004% of rolls are this or lower
Chance of rolling at least
23899.9731%≈
58897.4339%≈
1,17050.0641%≈
1,7532.5661%≈
2,1020.0275%≈
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