Wiki source code of Probabilities

Last modified by Adam Hattrell on 2010/10/28 13:11
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= Cthulhutech Dice probabilities =

{{box cssClass="floatinginfobox" title="**Contents**"}}
{{toc/}}
{{/box}}

== 1 dice ==

{{chart type="line" source="inline" params="range:B2-B12;series:columns;" title="1 Dice" width="420" height="240"}}
| Result | Probability
| 0 |1
| 1 |1
| 2 |0.9
| 3 |0.8
| 4 |0.7
| 5 |0.6
| 6 |0.5
| 7 |0.4
| 8 |0.3
| 9 |0.2
| 10 |0.1
{{/chart}}

== 2 dice ==

{{chart type="line" source="inline" params="range:B2-B22;series:columns;" title="2 Dice" width="640" height="240"}}
| Result | Probability
| 0|1
| 1|1.00
| 2|1.00
| 3|0.97
| 4|0.93
| 5|0.86
| 6|0.78
| 7|0.67
| 8|0.55
| 9|0.40
| 10|0.24
| 11|0.05
| 12|0.05
| 13|0.04
| 14|0.04
| 15|0.03
| 16|0.03
| 17|0.02
| 18|0.02
| 19|0.01
| 20|0.01
{{/chart}}

== 3 dice ==

{{chart type="line" source="inline" params="range:B2-B32;series:columns;" title="3 Dice" width="640" height="240"}}
| Result | Probability
| 0|1
| 1|1.000
| 2|1.000
| 3|0.997
| 4|0.993
| 5|0.969
| 6|0.933
| 7|0.851
| 8|0.758
| 9|0.608
| 10|0.427
| 11|0.178
| 12|0.178
| 13|0.144
| 14|0.144
| 15|0.117
| 16|0.110
| 17|0.083
| 18|0.083
| 19|0.049
| 20|0.049
| 21|0.022
| 22|0.015
| 23|0.015
| 24|0.015
| 25|0.008
| 26|0.008
| 27|0.008
| 28|0.001
| 29|0.001
| 30|0.001
{{/chart}}

== 4 dice ==

{{chart type="line" source="inline" params="range:B2-B42;series:columns;" title="4 Dice" width="640" height="240"}}
| Result | Probability
| 0|1
| 1|1.0000
| 2|1.0000
| 3|1.0000
| 4|0.9992
| 5|0.9933
| 6|0.9833
| 7|0.9413
| 8|0.8889
| 9|0.7770
| 10|0.6170
| 11|0.3566
| 12|0.3566
| 13|0.2947
| 14|0.2947
| 15|0.2479
| 16|0.2299
| 17|0.1848
| 18|0.1848
| 19|0.1176
| 20|0.1176
| 21|0.0701
| 22|0.0521
| 23|0.0497
| 24|0.0497
| 25|0.0316
| 26|0.0316
| 27|0.0292
| 28|0.0088
| 29|0.0087
| 30|0.0087
| 31|0.0027
| 32|0.0027
| 33|0.0026
| 34|0.0026
| 35|0.0002
| 36|0.0002
| 37|0.0001
| 38|0.0001
| 39|0.0001
| 40|0.0001
{{/chart}}

== 5 dice ==

{{chart type="line" source="inline" params="range:B2-B52;series:columns;" title="5 Dice" width="640" height="240"}}
| Result | Probability
| 0|1
| 1|1.00000
| 2|1.00000
| 3|1.00000
| 4|1.00000
| 5|0.99875
| 6|0.99599
| 7|0.97874
| 8|0.95479
| 9|0.88819
| 10|0.77169
| 11|0.54298
| 12|0.54298
| 13|0.46133
| 14|0.46133
| 15|0.39883
| 16|0.36912
| 17|0.30967
| 18|0.30967
| 19|0.20877
| 20|0.20877
| 21|0.13961
| 22|0.10901
| 23|0.10301
| 24|0.10301
| 25|0.07196
| 26|0.07075
| 27|0.06475
| 28|0.02675
| 29|0.02630
| 30|0.02630
| 31|0.01099
| 32|0.01099
| 33|0.01054
| 34|0.01054
| 35|0.00334
| 36|0.00213
| 37|0.00168
| 38|0.00168
| 39|0.00168
| 40|0.00168
| 41|0.00002
| 42|0.00002
| 43|0.00002
| 44|0.00002
| 45|0.00002
| 46|0.00001
| 47|0.00001
| 48|0.00001
| 49|0.00001
| 50|0.00001
{{/chart}}

== 6 dice ==

{{chart type="line" source="inline" params="range:B2-B62;series:columns;" title="6 Dice" width="640" height="240"}}
| Result | Probability
| 0|1
| 1|1.000000
| 2|1.000000
| 3|1.000000
| 4|1.000000
| 5|0.999805
| 6|0.999151
| 7|0.992869
| 8|0.983233
| 9|0.948997
| 10|0.876501
| 11|0.701751
| 12|0.701751
| 13|0.615305
| 14|0.615305
| 15|0.546170
| 16|0.507456
| 17|0.440016
| 18|0.440016
| 19|0.312055
| 20|0.312055
| 21|0.223786
| 22|0.180046
| 23|0.170266
| 24|0.170266
| 25|0.125530
| 26|0.122596
| 27|0.112816
| 28|0.054276
| 29|0.053061
| 30|0.053061
| 31|0.025886
| 32|0.025886
| 33|0.024671
| 34|0.023951
| 35|0.010571
| 36|0.007637
| 37|0.006421
| 38|0.006421
| 39|0.006421
| 40|0.005701
| 41|0.000832
| 42|0.000832
| 43|0.000831
| 44|0.000831
| 45|0.000831
| 46|0.000057
| 47|0.000057
| 48|0.000057
| 49|0.000056
| 50|0.000056
| 51|0.000002
| 52|0.000002
| 53|0.000002
| 54|0.000002
| 55|0.000001
| 56|0.000001
| 57|0.000001
| 58|0.000001
| 59|0.000001
| 60|0.000001
{{/chart}}

== 7 dice ==

{{chart type="line" source="inline" params="range:B2-B72;series:columns;" title="7 Dice" width="640" height="240"}}
| Result | Probability
| 0|1
| 1|1.0000000
| 2|1.0000000
| 3|1.0000000
| 4|1.0000000
| 5|0.9999790
| 6|0.9998404
| 7|0.9977908
| 8|0.9942900
| 9|0.9782320
| 10|0.9370034
| 11|0.8188504
| 12|0.8188504
| 13|0.7390434
| 14|0.7390434
| 15|0.6737921
| 16|0.6302248
| 17|0.5615555
| 18|0.5615555
| 19|0.4173499
| 20|0.4173499
| 21|0.3148860
| 22|0.2587774
| 23|0.2458204
| 24|0.2458204
| 25|0.1873641
| 26|0.1826160
| 27|0.1695750
| 28|0.0896350
| 29|0.0866039
| 30|0.0866039
| 31|0.0460620
| 32|0.0460620
| 33|0.0435105
| 34|0.0419985
| 35|0.0220275
| 36|0.0167753
| 37|0.0142175
| 38|0.0142175
| 39|0.0142175
| 40|0.0127055
| 41|0.0033899
| 42|0.0033899
| 43|0.0028795
| 44|0.0028795
| 45|0.0028795
| 46|0.0006934
| 47|0.0006934
| 48|0.0006934
| 49|0.0006871
| 50|0.0001830
| 51|0.0000129
| 52|0.0000129
| 53|0.0000129
| 54|0.0000129
| 55|0.0000066
| 56|0.0000066
| 57|0.0000065
| 58|0.0000065
| 59|0.0000065
| 60|0.0000065
| 61|2E-7
| 62|2E-7
| 63|2E-7
| 64|1E-7
| 65|1E-7
| 66|1E-7
| 67|1E-7
| 68|1E-7
| 69|1E-7
| 70|1E-7
{{/chart}}

== 8 dice ==

{{chart type="line" source="inline" params="range:B2-B82;series:columns;" title="8 Dice" width="640" height="240"}}
| Result | Probability
| 0|1
| 1|1.00000000
| 2|1.00000000
| 3|1.00000000
| 4|1.00000000
| 5|1.00000000
| 6|0.99997480
| 7|0.99937532
| 8|0.99821564
| 9|0.99116893
| 10|0.96908693
| 11|0.89638457
| 12|0.89638457
| 13|0.82975157
| 14|0.82975157
| 15|0.77393985
| 16|0.73104329
| 17|0.66627130
| 18|0.66627130
| 19|0.51655530
| 20|0.51655530
| 21|0.40625238
| 22|0.33962678
| 23|0.32439982
| 24|0.32439982
| 25|0.25293275
| 26|0.24650115
| 27|0.23098859
| 28|0.13012419
| 29|0.12445487
| 30|0.12445487
| 31|0.06965915
| 32|0.06965915
| 33|0.06506784
| 34|0.06281664
| 35|0.03647144
| 36|0.02909048
| 37|0.02407260
| 38|0.02407260
| 39|0.02407260
| 40|0.02182140
| 41|0.00719405
| 42|0.00719405
| 43|0.00636425
| 44|0.00636425
| 45|0.00596105
| 46|0.00209201
| 47|0.00209201
| 48|0.00209201
| 49|0.00206932
| 50|0.00085900
| 51|0.00045076
| 52|0.00045076
| 53|0.00004756
| 54|0.00004756
| 55|0.00002488
| 56|0.00002488
| 57|0.00002415
| 58|0.00002415
| 59|0.00002415
| 60|0.00002415
| 61|0.00000147
| 62|0.00000147
| 63|0.00000147
| 64|7.5E-7
| 65|7.4E-7
| 66|7.4E-7
| 67|7.4E-7
| 68|7.4E-7
| 69|7.4E-7
| 70|7.4E-7
| 71|2E-8
| 72|2E-8
| 73|1E-8
| 74|1E-8
| 75|1E-8
| 76|1E-8
| 77|1E-8
| 78|1E-8
| 79|1E-8
| 80|1E-8
{{/chart}}

== 9 dice==
{{chart type="line" source="inline" params="range:B2-B92;series:columns;" title="9 Dice" width="640" height="240"}}
| Result | Probability
| 0|1
| 1|1.000000000
| 2|1.000000000
| 3|1.000000000
| 4|1.000000000
| 5|1.000000000
| 6|0.999996976
| 7|0.999839896
| 8|0.999489724
| 9|0.996581491
| 10|0.985302843
| 11|0.943687194
| 12|0.943687194
| 13|0.892385670
| 14|0.892385670
| 15|0.848012934
| 16|0.809568654
| 17|0.751774947
| 18|0.751774947
| 19|0.605332634
| 20|0.605332634
| 21|0.492469196
| 22|0.418515368
| 23|0.402019448
| 24|0.402019448
| 25|0.318714887
| 26|0.310931489
| 27|0.293731985
| 28|0.173536552
| 29|0.164662606
| 30|0.164662606
| 31|0.095241310
| 32|0.095241310
| 33|0.087826633
| 34|0.084893353
| 35|0.052748233
| 36|0.043219339
| 37|0.035012580
| 38|0.035012580
| 39|0.035012580
| 40|0.032079300
| 41|0.011469147
| 42|0.011469147
| 43|0.010286115
| 44|0.010286115
| 45|0.009923235
| 46|0.003955748
| 47|0.003955748
| 48|0.003955748
| 49|0.003894431
| 50|0.002046875
| 51|0.001220189
| 52|0.001220189
| 53|0.000494429
| 54|0.000494429
| 55|0.000070312
| 56|0.000070312
| 57|0.000067315
| 58|0.000067315
| 59|0.000067315
| 60|0.000067315
| 61|0.000006079
| 62|0.000006079
| 63|0.000006079
| 64|0.000003162
| 65|0.000003081
| 66|0.000003081
| 67|0.000003081
| 68|0.000003081
| 69|0.000003081
| 70|0.000003081
| 71|1.65E-7
| 72|1.65E-7
| 73|8.3E-8
| 74|8.3E-8
| 75|8.3E-8
| 76|8.3E-8
| 77|8.3E-8
| 78|8.3E-8
| 79|8.3E-8
| 80|8.3E-8
| 81|2E-9
| 82|1E-9
| 83|1E-9
| 84|1E-9
| 85|1E-9
| 86|1E-9
| 87|1E-9
| 88|1E-9
| 89|1E-9
| 90|1E-9
{{/chart}}