Dice notation
4d173
- 4d173
- 4 to 692
- mean 348
- mode 348
Rolling 4d173 gives a total between 4 and 692, with a mean of 348 and a standard deviation of 99.8799. There are 895,745,041 equally likely ordered outcomes, and the most likely total is 348 at 0.385%.
The roll
Notation4d173
Dice4
Faces per die173
Minimum total4all 4 dice showing 1
Maximum total692all 4 dice showing 173
Distinct totals689
Mean348n(f + 1)/2 + modifier, exact
Variance9,976n(f² − 1)/12, exact
Standard deviation99.87992791≈
Counting the outcomes
Ordered outcomes895,745,041173^4, every die distinguishable
Most likely total348
Chance of that total0.385363%≈
Ways to roll it3,451,869exact count
Chance of the minimum1.1163891 × 10^-7%≈1 in 895,745,041
Chance of the maximum1.1163891 × 10^-7%≈1 in 895,745,041
Shape of the distribution
689 distinct totals, too many to list individually.
1st percentile123≈1.014% of rolls are this or lower
5th percentile183≈5.047% of rolls are this or lower
25th percentile278≈25.053% of rolls are this or lower
50th percentile348≈50.193% of rolls are this or lower
75th percentile418≈75.257% of rolls are this or lower
95th percentile513≈95.063% of rolls are this or lower
99th percentile573≈99.019% of rolls are this or lower
Chance of rolling at least
7399.8851%≈
17695.7853%≈
34850.1927%≈
5204.3127%≈
6230.1215%≈
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