Dice notation
5d173
- 5d173
- 5 to 865
- mean 435
- mode 435
Rolling 5d173 gives a total between 5 and 865, with a mean of 435 and a standard deviation of 111.6692. There are 154,963,892,093 equally likely ordered outcomes, and the most likely total is 435 at 0.346%.
The roll
Notation5d173
Dice5
Faces per die173
Minimum total5all 5 dice showing 1
Maximum total865all 5 dice showing 173
Distinct totals861
Mean435n(f + 1)/2 + modifier, exact
Variance12,470n(f² − 1)/12, exact
Standard deviation111.6691542≈
Counting the outcomes
Ordered outcomes154,963,892,093173^5, every die distinguishable
Most likely total435
Chance of that total0.346224%≈
Ways to roll it536,521,751exact count
Chance of the minimum6.45311618 × 10^-10%≈1 in 154,963,892,093
Chance of the maximum6.45311618 × 10^-10%≈1 in 154,963,892,093
Shape of the distribution
861 distinct totals, too many to list individually.
1st percentile182≈1.016% of rolls are this or lower
5th percentile251≈5.079% of rolls are this or lower
25th percentile358≈25.231% of rolls are this or lower
50th percentile435≈50.173% of rolls are this or lower
75th percentile512≈75.05% of rolls are this or lower
95th percentile619≈95.019% of rolls are this or lower
99th percentile688≈99.012% of rolls are this or lower
Chance of rolling at least
9199.9716%≈
22097.4172%≈
43550.1731%≈
6502.6425%≈
7790.03%≈
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