Dice notation

1d173

1d173
1 to 173
mean 87

Rolling 1d173 gives a total between 1 and 173, with a mean of 87 and a standard deviation of 49.94. There are 173 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 or 114 or 115 or 116 or 117 or 118 or 119 or 120 or 121 or 122 or 123 or 124 or 125 or 126 or 127 or 128 or 129 or 130 or 131 or 132 or 133 or 134 or 135 or 136 or 137 or 138 or 139 or 140 or 141 or 142 or 143 or 144 or 145 or 146 or 147 or 148 or 149 or 150 or 151 or 152 or 153 or 154 or 155 or 156 or 157 or 158 or 159 or 160 or 161 or 162 or 163 or 164 or 165 or 166 or 167 or 168 or 169 or 170 or 171 or 172 or 173 at 0.578%.

The roll

Notation1d173

Dice1

Faces per die173

Minimum total1a 1

Maximum total173all 1 dice showing 173

Distinct totals173

Mean87n(f + 1)/2 + modifier, exact

Variance2,494n(f² − 1)/12, exact

Standard deviation49.93996396≈

Counting the outcomes

Ordered outcomes173173^1, 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 113 and 114 and 115 and 116 and 117 and 118 and 119 and 120 and 121 and 122 and 123 and 124 and 125 and 126 and 127 and 128 and 129 and 130 and 131 and 132 and 133 and 134 and 135 and 136 and 137 and 138 and 139 and 140 and 141 and 142 and 143 and 144 and 145 and 146 and 147 and 148 and 149 and 150 and 151 and 152 and 153 and 154 and 155 and 156 and 157 and 158 and 159 and 160 and 161 and 162 and 163 and 164 and 165 and 166 and 167 and 168 and 169 and 170 and 171 and 172 and 173two totals share the peak

Chance of that total0.578035%≈

Ways to roll it1exact count

Chance of the minimum0.57803468%≈1 in 173

Chance of the maximum0.57803468%≈1 in 173

Shape of the distribution

173 distinct totals, too many to list individually.

1st percentile2≈1.156% of rolls are this or lower

5th percentile9≈5.202% of rolls are this or lower

25th percentile44≈25.434% of rolls are this or lower

50th percentile87≈50.289% of rolls are this or lower

75th percentile130≈75.145% of rolls are this or lower

95th percentile165≈95.376% of rolls are this or lower

99th percentile172≈99.422% of rolls are this or lower

Chance of rolling at least

1890.1734%≈

4475.1445%≈

8750.289%≈

13025.4335%≈

15610.4046%≈

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