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Recognised as Dice notation

1d113

  • 1d113
  • 1 to 113
  • mean 57

Rolling 1d113 gives a total between 1 and 113, with a mean of 57 and a standard deviation of 32.619. There are 113 equally likely ordered outcomes, and the most likely total is 1 or 2 or 3 or 4 or 5 or 6 or 7 or 8 or 9 or 10 or 11 or 12 or 13 or 14 or 15 or 16 or 17 or 18 or 19 or 20 or 21 or 22 or 23 or 24 or 25 or 26 or 27 or 28 or 29 or 30 or 31 or 32 or 33 or 34 or 35 or 36 or 37 or 38 or 39 or 40 or 41 or 42 or 43 or 44 or 45 or 46 or 47 or 48 or 49 or 50 or 51 or 52 or 53 or 54 or 55 or 56 or 57 or 58 or 59 or 60 or 61 or 62 or 63 or 64 or 65 or 66 or 67 or 68 or 69 or 70 or 71 or 72 or 73 or 74 or 75 or 76 or 77 or 78 or 79 or 80 or 81 or 82 or 83 or 84 or 85 or 86 or 87 or 88 or 89 or 90 or 91 or 92 or 93 or 94 or 95 or 96 or 97 or 98 or 99 or 100 or 101 or 102 or 103 or 104 or 105 or 106 or 107 or 108 or 109 or 110 or 111 or 112 or 113 at 0.885%.

The roll

Notation1d113
Dice1
Faces per die113
Minimum total1a 1
Maximum total113all 1 dice showing 113
Distinct totals113
Mean57n(f + 1)/2 + modifier, exact
Variance1,064n(f² − 1)/12, exact
Standard deviation32.61901286≈

Counting the outcomes

Ordered outcomes113113^1, every die distinguishable
Most likely total1 and 2 and 3 and 4 and 5 and 6 and 7 and 8 and 9 and 10 and 11 and 12 and 13 and 14 and 15 and 16 and 17 and 18 and 19 and 20 and 21 and 22 and 23 and 24 and 25 and 26 and 27 and 28 and 29 and 30 and 31 and 32 and 33 and 34 and 35 and 36 and 37 and 38 and 39 and 40 and 41 and 42 and 43 and 44 and 45 and 46 and 47 and 48 and 49 and 50 and 51 and 52 and 53 and 54 and 55 and 56 and 57 and 58 and 59 and 60 and 61 and 62 and 63 and 64 and 65 and 66 and 67 and 68 and 69 and 70 and 71 and 72 and 73 and 74 and 75 and 76 and 77 and 78 and 79 and 80 and 81 and 82 and 83 and 84 and 85 and 86 and 87 and 88 and 89 and 90 and 91 and 92 and 93 and 94 and 95 and 96 and 97 and 98 and 99 and 100 and 101 and 102 and 103 and 104 and 105 and 106 and 107 and 108 and 109 and 110 and 111 and 112 and 113two totals share the peak
Chance of that total0.884956%≈
Ways to roll it1exact count
Chance of the minimum0.88495575%≈1 in 113
Chance of the maximum0.88495575%≈1 in 113

Shape of the distribution

113 distinct totals, too many to list individually.

1st percentile2≈1.77% of rolls are this or lower
5th percentile6≈5.31% of rolls are this or lower
25th percentile29≈25.664% of rolls are this or lower
50th percentile57≈50.442% of rolls are this or lower
75th percentile85≈75.221% of rolls are this or lower
95th percentile108≈95.575% of rolls are this or lower
99th percentile112≈99.115% of rolls are this or lower

Chance of rolling at least

1290.2655%≈
2975.2212%≈
5750.4425%≈
8525.6637%≈
10210.6195%≈

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Every value on this page was computed from “1d113” by Nerdulator’s games engine. Nothing here was retrieved from a database of answers or written by a model.