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Recognised as Dice notation

5d437

  • 5d437
  • 5 to 2185
  • mean 1,095
  • mode 1095

Rolling 5d437 gives a total between 5 and 2,185, with a mean of 1,095 and a standard deviation of 282.0815. There are 15,937,022,465,957 equally likely ordered outcomes, and the most likely total is 1,095 at 0.137%.

The roll

Notation5d437
Dice5
Faces per die437
Minimum total5all 5 dice showing 1
Maximum total2,185all 5 dice showing 437
Distinct totals2,181
Mean1,095n(f + 1)/2 + modifier, exact
Variance79,570n(f² − 1)/12, exact
Standard deviation282.08154849≈

Counting the outcomes

Ordered outcomes15,937,022,465,957437^5, every die distinguishable
Most likely total1,095
Chance of that total0.137062%≈
Ways to roll it21,843,556,401exact count
Chance of the minimum6.27469781 × 10^-12%≈1 in 15,937,022,465,957
Chance of the maximum6.27469781 × 10^-12%≈1 in 15,937,022,465,957

Shape of the distribution

2,181 distinct totals, too many to list individually.

1st percentile456≈1.009% of rolls are this or lower
5th percentile629≈5.002% of rolls are this or lower
25th percentile900≈25.091% of rolls are this or lower
50th percentile1,095≈50.069% of rolls are this or lower
75th percentile1,290≈75.02% of rolls are this or lower
95th percentile1,561≈95.036% of rolls are this or lower
99th percentile1,734≈99.003% of rolls are this or lower

Chance of rolling at least

22399.9731%≈
55097.4436%≈
1,09550.0685%≈
1,6402.5797%≈
1,9670.0276%≈

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Every value on this page was computed from “5d437” by Nerdulator’s games engine. Nothing here was retrieved from a database of answers or written by a model.