Recognised as Dice notation
5d175
- 5d175
- 5 to 875
- mean 440
- mode 440
Rolling 5d175 gives a total between 5 and 875, with a mean of 440 and a standard deviation of 112.9602. There are 164,130,859,375 equally likely ordered outcomes, and the most likely total is 440 at 0.342%.
The roll
Notation5d175
Dice5
Faces per die175
Minimum total5all 5 dice showing 1
Maximum total875all 5 dice showing 175
Distinct totals871
Mean440n(f + 1)/2 + modifier, exact
Variance12,760n(f² − 1)/12, exact
Standard deviation112.96016997≈
Counting the outcomes
Ordered outcomes164,130,859,375175^5, every die distinguishable
Most likely total440
Chance of that total0.342267%≈
Ways to roll it561,765,381exact count
Chance of the minimum6.09269947 × 10^-10%≈1 in 164,130,859,375
Chance of the maximum6.09269947 × 10^-10%≈1 in 164,130,859,375
Shape of the distribution
871 distinct totals, too many to list individually.
1st percentile184≈1.014% of rolls are this or lower
5th percentile254≈5.091% of rolls are this or lower
25th percentile362≈25.199% of rolls are this or lower
50th percentile440≈50.171% of rolls are this or lower
75th percentile518≈75.078% of rolls are this or lower
95th percentile626≈95.007% of rolls are this or lower
99th percentile696≈99.014% of rolls are this or lower
Chance of rolling at least
9299.9717%≈
22397.3883%≈
44050.1711%≈
6582.6117%≈
7880.03%≈
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