Recognised as Dice notation
4d387
- 4d387
- 4 to 1548
- mean 776
- mode 776
Rolling 4d387 gives a total between 4 and 1,548, with a mean of 776 and a standard deviation of 223.4338. There are 22,430,753,361 equally likely ordered outcomes, and the most likely total is 776 at 0.172%.
The roll
Notation4d387
Dice4
Faces per die387
Minimum total4all 4 dice showing 1
Maximum total1,548all 4 dice showing 387
Distinct totals1,545
Mean776n(f + 1)/2 + modifier, exact
Variance49,922.66666667n(f² − 1)/12, exact
Standard deviation223.43380824≈
Counting the outcomes
Ordered outcomes22,430,753,361387^4, every die distinguishable
Most likely total776
Chance of that total0.172266%≈
Ways to roll it38,640,531exact count
Chance of the minimum4.45816502 × 10^-9%≈1 in 22,430,753,361
Chance of the maximum4.45816502 × 10^-9%≈1 in 22,430,753,361
Shape of the distribution
1,545 distinct totals, too many to list individually.
1st percentile273≈1.009% of rolls are this or lower
5th percentile407≈5.022% of rolls are this or lower
25th percentile620≈25.049% of rolls are this or lower
50th percentile776≈50.086% of rolls are this or lower
75th percentile932≈75.089% of rolls are this or lower
95th percentile1,145≈95.027% of rolls are this or lower
99th percentile1,279≈99.006% of rolls are this or lower
Chance of rolling at least
15899.8914%≈
39095.8118%≈
77650.0861%≈
1,1624.2316%≈
1,3940.1114%≈
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