Recognised as Dice notation
13d70
- 13d70
- 13 to 910
- mean 461.5
Rolling 13d70 gives a total between 13 and 910, with a mean of 461.5 and a standard deviation of 72.8509. There are 968,890,104,070,000,000,000,000 equally likely ordered outcomes, and the most likely total is 461 or 462 at 0.541%.
The roll
Notation13d70
Dice13
Faces per die70
Minimum total13all 13 dice showing 1
Maximum total910all 13 dice showing 70
Distinct totals898
Mean461.5n(f + 1)/2 + modifier, exact
Variance5,307.25n(f² − 1)/12, exact
Standard deviation72.85087508≈
Counting the outcomes
Ordered outcomes968,890,104,070,000,000,000,00070^13, every die distinguishable
Most likely total461 and 462two totals share the peak
Chance of that total0.541246%≈
Ways to roll it5,244,082,688,781,216,275,450exact count
Chance of the minimum1.0321088 × 10^-22%≈1 in 968,890,104,070,000,000,000,000
Chance of the maximum1.0321088 × 10^-22%≈1 in 968,890,104,070,000,000,000,000
Shape of the distribution
898 distinct totals, too many to list individually.
1st percentile294≈1.034% of rolls are this or lower
5th percentile342≈5.142% of rolls are this or lower
25th percentile412≈25.273% of rolls are this or lower
50th percentile462≈50.541% of rolls are this or lower
75th percentile511≈75.161% of rolls are this or lower
95th percentile581≈95.004% of rolls are this or lower
99th percentile629≈99.006% of rolls are this or lower
Chance of rolling at least
103100%≈
23799.9262%≈
46250%≈
6860.0778%≈
8200%≈
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