Recognised as Dice notation
3d770
- 3d770
- 3 to 2310
- mean 1,156.5
Rolling 3d770 gives a total between 3 and 2,310, with a mean of 1,156.5 and a standard deviation of 384.9997. There are 456,533,000 equally likely ordered outcomes, and the most likely total is 1,156 or 1,157 at 0.097%.
The roll
Notation3d770
Dice3
Faces per die770
Minimum total3all 3 dice showing 1
Maximum total2,310all 3 dice showing 770
Distinct totals2,308
Mean1,156.5n(f + 1)/2 + modifier, exact
Variance148,224.75n(f² − 1)/12, exact
Standard deviation384.99967532≈
Counting the outcomes
Ordered outcomes456,533,000770^3, every die distinguishable
Most likely total1,156 and 1,157two totals share the peak
Chance of that total0.097403%≈
Ways to roll it444,675exact count
Chance of the minimum2.19042216 × 10^-7%≈1 in 456,533,000
Chance of the maximum2.19042216 × 10^-7%≈1 in 456,533,000
Shape of the distribution
2,308 distinct totals, too many to list individually.
1st percentile303≈1.006% of rolls are this or lower
5th percentile517≈5.016% of rolls are this or lower
25th percentile885≈25.057% of rolls are this or lower
50th percentile1,157≈50.097% of rolls are this or lower
75th percentile1,428≈75.024% of rolls are this or lower
95th percentile1,796≈95.013% of rolls are this or lower
99th percentile2,010≈99.004% of rolls are this or lower
Chance of rolling at least
23499.5441%≈
58092.9505%≈
1,15750%≈
1,7337.0862%≈
2,0790.4618%≈
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