Wiki source code of Probabilities

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  1: = Cthulhutech Dice probabilities =
  2: 
  3: {{box cssClass="floatinginfobox" title="**Contents**"}}
  4: {{toc/}}
  5: {{/box}}
  6: 
  7: == 1 dice ==
  8: 
  9: {{chart type="line" source="inline" params="range:B2-B12;series:columns;" title="1 Dice" width="420" height="240"}}
 10: | Result | Probability
 11: | 0 |1
 12: | 1 |1
 13: | 2 |0.9
 14: | 3 |0.8
 15: | 4 |0.7
 16: | 5 |0.6
 17: | 6 |0.5
 18: | 7 |0.4
 19: | 8 |0.3
 20: | 9 |0.2
 21: | 10 |0.1
 22: {{/chart}}
 23: 
 24: == 2 dice ==
 25: 
 26: {{chart type="line" source="inline" params="range:B2-B22;series:columns;" title="2 Dice" width="640" height="240"}}
 27: | Result | Probability
 28: | 0|1
 29: | 1|1.00
 30: | 2|1.00
 31: | 3|0.97
 32: | 4|0.93
 33: | 5|0.86
 34: | 6|0.78
 35: | 7|0.67
 36: | 8|0.55
 37: | 9|0.40
 38: | 10|0.24
 39: | 11|0.05
 40: | 12|0.05
 41: | 13|0.04
 42: | 14|0.04
 43: | 15|0.03
 44: | 16|0.03
 45: | 17|0.02
 46: | 18|0.02
 47: | 19|0.01
 48: | 20|0.01
 49: {{/chart}}
 50: 
 51: == 3 dice ==
 52: 
 53: {{chart type="line" source="inline" params="range:B2-B32;series:columns;" title="3 Dice" width="640" height="240"}}
 54: | Result | Probability
 55: | 0|1
 56: | 1|1.000
 57: | 2|1.000
 58: | 3|0.997
 59: | 4|0.993
 60: | 5|0.969
 61: | 6|0.933
 62: | 7|0.851
 63: | 8|0.758
 64: | 9|0.608
 65: | 10|0.427
 66: | 11|0.178
 67: | 12|0.178
 68: | 13|0.144
 69: | 14|0.144
 70: | 15|0.117
 71: | 16|0.110
 72: | 17|0.083
 73: | 18|0.083
 74: | 19|0.049
 75: | 20|0.049
 76: | 21|0.022
 77: | 22|0.015
 78: | 23|0.015
 79: | 24|0.015
 80: | 25|0.008
 81: | 26|0.008
 82: | 27|0.008
 83: | 28|0.001
 84: | 29|0.001
 85: | 30|0.001
 86: {{/chart}}
 87: 
 88: == 4 dice ==
 89: 
 90: {{chart type="line" source="inline" params="range:B2-B42;series:columns;" title="4 Dice" width="640" height="240"}}
 91: | Result | Probability
 92: | 0|1
 93: | 1|1.0000
 94: | 2|1.0000
 95: | 3|1.0000
 96: | 4|0.9992
 97: | 5|0.9933
 98: | 6|0.9833
 99: | 7|0.9413
100: | 8|0.8889
101: | 9|0.7770
102: | 10|0.6170
103: | 11|0.3566
104: | 12|0.3566
105: | 13|0.2947
106: | 14|0.2947
107: | 15|0.2479
108: | 16|0.2299
109: | 17|0.1848
110: | 18|0.1848
111: | 19|0.1176
112: | 20|0.1176
113: | 21|0.0701
114: | 22|0.0521
115: | 23|0.0497
116: | 24|0.0497
117: | 25|0.0316
118: | 26|0.0316
119: | 27|0.0292
120: | 28|0.0088
121: | 29|0.0087
122: | 30|0.0087
123: | 31|0.0027
124: | 32|0.0027
125: | 33|0.0026
126: | 34|0.0026
127: | 35|0.0002
128: | 36|0.0002
129: | 37|0.0001
130: | 38|0.0001
131: | 39|0.0001
132: | 40|0.0001
133: {{/chart}}
134: 
135: == 5 dice ==
136: 
137: {{chart type="line" source="inline" params="range:B2-B52;series:columns;" title="5 Dice" width="640" height="240"}}
138: | Result | Probability
139: | 0|1
140: | 1|1.00000
141: | 2|1.00000
142: | 3|1.00000
143: | 4|1.00000
144: | 5|0.99875
145: | 6|0.99599
146: | 7|0.97874
147: | 8|0.95479
148: | 9|0.88819
149: | 10|0.77169
150: | 11|0.54298
151: | 12|0.54298
152: | 13|0.46133
153: | 14|0.46133
154: | 15|0.39883
155: | 16|0.36912
156: | 17|0.30967
157: | 18|0.30967
158: | 19|0.20877
159: | 20|0.20877
160: | 21|0.13961
161: | 22|0.10901
162: | 23|0.10301
163: | 24|0.10301
164: | 25|0.07196
165: | 26|0.07075
166: | 27|0.06475
167: | 28|0.02675
168: | 29|0.02630
169: | 30|0.02630
170: | 31|0.01099
171: | 32|0.01099
172: | 33|0.01054
173: | 34|0.01054
174: | 35|0.00334
175: | 36|0.00213
176: | 37|0.00168
177: | 38|0.00168
178: | 39|0.00168
179: | 40|0.00168
180: | 41|0.00002
181: | 42|0.00002
182: | 43|0.00002
183: | 44|0.00002
184: | 45|0.00002
185: | 46|0.00001
186: | 47|0.00001
187: | 48|0.00001
188: | 49|0.00001
189: | 50|0.00001
190: {{/chart}}
191: 
192: == 6 dice ==
193: 
194: {{chart type="line" source="inline" params="range:B2-B62;series:columns;" title="6 Dice" width="640" height="240"}}
195: | Result | Probability
196: | 0|1
197: | 1|1.000000
198: | 2|1.000000
199: | 3|1.000000
200: | 4|1.000000
201: | 5|0.999805
202: | 6|0.999151
203: | 7|0.992869
204: | 8|0.983233
205: | 9|0.948997
206: | 10|0.876501
207: | 11|0.701751
208: | 12|0.701751
209: | 13|0.615305
210: | 14|0.615305
211: | 15|0.546170
212: | 16|0.507456
213: | 17|0.440016
214: | 18|0.440016
215: | 19|0.312055
216: | 20|0.312055
217: | 21|0.223786
218: | 22|0.180046
219: | 23|0.170266
220: | 24|0.170266
221: | 25|0.125530
222: | 26|0.122596
223: | 27|0.112816
224: | 28|0.054276
225: | 29|0.053061
226: | 30|0.053061
227: | 31|0.025886
228: | 32|0.025886
229: | 33|0.024671
230: | 34|0.023951
231: | 35|0.010571
232: | 36|0.007637
233: | 37|0.006421
234: | 38|0.006421
235: | 39|0.006421
236: | 40|0.005701
237: | 41|0.000832
238: | 42|0.000832
239: | 43|0.000831
240: | 44|0.000831
241: | 45|0.000831
242: | 46|0.000057
243: | 47|0.000057
244: | 48|0.000057
245: | 49|0.000056
246: | 50|0.000056
247: | 51|0.000002
248: | 52|0.000002
249: | 53|0.000002
250: | 54|0.000002
251: | 55|0.000001
252: | 56|0.000001
253: | 57|0.000001
254: | 58|0.000001
255: | 59|0.000001
256: | 60|0.000001
257: {{/chart}}
258: 
259: == 7 dice ==
260: 
261: {{chart type="line" source="inline" params="range:B2-B72;series:columns;" title="7 Dice" width="640" height="240"}}
262: | Result | Probability
263: | 0|1
264: | 1|1.0000000
265: | 2|1.0000000
266: | 3|1.0000000
267: | 4|1.0000000
268: | 5|0.9999790
269: | 6|0.9998404
270: | 7|0.9977908
271: | 8|0.9942900
272: | 9|0.9782320
273: | 10|0.9370034
274: | 11|0.8188504
275: | 12|0.8188504
276: | 13|0.7390434
277: | 14|0.7390434
278: | 15|0.6737921
279: | 16|0.6302248
280: | 17|0.5615555
281: | 18|0.5615555
282: | 19|0.4173499
283: | 20|0.4173499
284: | 21|0.3148860
285: | 22|0.2587774
286: | 23|0.2458204
287: | 24|0.2458204
288: | 25|0.1873641
289: | 26|0.1826160
290: | 27|0.1695750
291: | 28|0.0896350
292: | 29|0.0866039
293: | 30|0.0866039
294: | 31|0.0460620
295: | 32|0.0460620
296: | 33|0.0435105
297: | 34|0.0419985
298: | 35|0.0220275
299: | 36|0.0167753
300: | 37|0.0142175
301: | 38|0.0142175
302: | 39|0.0142175
303: | 40|0.0127055
304: | 41|0.0033899
305: | 42|0.0033899
306: | 43|0.0028795
307: | 44|0.0028795
308: | 45|0.0028795
309: | 46|0.0006934
310: | 47|0.0006934
311: | 48|0.0006934
312: | 49|0.0006871
313: | 50|0.0001830
314: | 51|0.0000129
315: | 52|0.0000129
316: | 53|0.0000129
317: | 54|0.0000129
318: | 55|0.0000066
319: | 56|0.0000066
320: | 57|0.0000065
321: | 58|0.0000065
322: | 59|0.0000065
323: | 60|0.0000065
324: | 61|2E-7
325: | 62|2E-7
326: | 63|2E-7
327: | 64|1E-7
328: | 65|1E-7
329: | 66|1E-7
330: | 67|1E-7
331: | 68|1E-7
332: | 69|1E-7
333: | 70|1E-7
334: {{/chart}}
335: 
336: == 8 dice ==
337: 
338: {{chart type="line" source="inline" params="range:B2-B82;series:columns;" title="8 Dice" width="640" height="240"}}
339: | Result | Probability
340: | 0|1
341: | 1|1.00000000
342: | 2|1.00000000
343: | 3|1.00000000
344: | 4|1.00000000
345: | 5|1.00000000
346: | 6|0.99997480
347: | 7|0.99937532
348: | 8|0.99821564
349: | 9|0.99116893
350: | 10|0.96908693
351: | 11|0.89638457
352: | 12|0.89638457
353: | 13|0.82975157
354: | 14|0.82975157
355: | 15|0.77393985
356: | 16|0.73104329
357: | 17|0.66627130
358: | 18|0.66627130
359: | 19|0.51655530
360: | 20|0.51655530
361: | 21|0.40625238
362: | 22|0.33962678
363: | 23|0.32439982
364: | 24|0.32439982
365: | 25|0.25293275
366: | 26|0.24650115
367: | 27|0.23098859
368: | 28|0.13012419
369: | 29|0.12445487
370: | 30|0.12445487
371: | 31|0.06965915
372: | 32|0.06965915
373: | 33|0.06506784
374: | 34|0.06281664
375: | 35|0.03647144
376: | 36|0.02909048
377: | 37|0.02407260
378: | 38|0.02407260
379: | 39|0.02407260
380: | 40|0.02182140
381: | 41|0.00719405
382: | 42|0.00719405
383: | 43|0.00636425
384: | 44|0.00636425
385: | 45|0.00596105
386: | 46|0.00209201
387: | 47|0.00209201
388: | 48|0.00209201
389: | 49|0.00206932
390: | 50|0.00085900
391: | 51|0.00045076
392: | 52|0.00045076
393: | 53|0.00004756
394: | 54|0.00004756
395: | 55|0.00002488
396: | 56|0.00002488
397: | 57|0.00002415
398: | 58|0.00002415
399: | 59|0.00002415
400: | 60|0.00002415
401: | 61|0.00000147
402: | 62|0.00000147
403: | 63|0.00000147
404: | 64|7.5E-7
405: | 65|7.4E-7
406: | 66|7.4E-7
407: | 67|7.4E-7
408: | 68|7.4E-7
409: | 69|7.4E-7
410: | 70|7.4E-7
411: | 71|2E-8
412: | 72|2E-8
413: | 73|1E-8
414: | 74|1E-8
415: | 75|1E-8
416: | 76|1E-8
417: | 77|1E-8
418: | 78|1E-8
419: | 79|1E-8
420: | 80|1E-8
421: {{/chart}}
422: 
423: == 9 dice==
424: {{chart type="line" source="inline" params="range:B2-B92;series:columns;" title="9 Dice" width="640" height="240"}}
425: | Result | Probability
426: | 0|1
427: | 1|1.000000000
428: | 2|1.000000000
429: | 3|1.000000000
430: | 4|1.000000000
431: | 5|1.000000000
432: | 6|0.999996976
433: | 7|0.999839896
434: | 8|0.999489724
435: | 9|0.996581491
436: | 10|0.985302843
437: | 11|0.943687194
438: | 12|0.943687194
439: | 13|0.892385670
440: | 14|0.892385670
441: | 15|0.848012934
442: | 16|0.809568654
443: | 17|0.751774947
444: | 18|0.751774947
445: | 19|0.605332634
446: | 20|0.605332634
447: | 21|0.492469196
448: | 22|0.418515368
449: | 23|0.402019448
450: | 24|0.402019448
451: | 25|0.318714887
452: | 26|0.310931489
453: | 27|0.293731985
454: | 28|0.173536552
455: | 29|0.164662606
456: | 30|0.164662606
457: | 31|0.095241310
458: | 32|0.095241310
459: | 33|0.087826633
460: | 34|0.084893353
461: | 35|0.052748233
462: | 36|0.043219339
463: | 37|0.035012580
464: | 38|0.035012580
465: | 39|0.035012580
466: | 40|0.032079300
467: | 41|0.011469147
468: | 42|0.011469147
469: | 43|0.010286115
470: | 44|0.010286115
471: | 45|0.009923235
472: | 46|0.003955748
473: | 47|0.003955748
474: | 48|0.003955748
475: | 49|0.003894431
476: | 50|0.002046875
477: | 51|0.001220189
478: | 52|0.001220189
479: | 53|0.000494429
480: | 54|0.000494429
481: | 55|0.000070312
482: | 56|0.000070312
483: | 57|0.000067315
484: | 58|0.000067315
485: | 59|0.000067315
486: | 60|0.000067315
487: | 61|0.000006079
488: | 62|0.000006079
489: | 63|0.000006079
490: | 64|0.000003162
491: | 65|0.000003081
492: | 66|0.000003081
493: | 67|0.000003081
494: | 68|0.000003081
495: | 69|0.000003081
496: | 70|0.000003081
497: | 71|1.65E-7
498: | 72|1.65E-7
499: | 73|8.3E-8
500: | 74|8.3E-8
501: | 75|8.3E-8
502: | 76|8.3E-8
503: | 77|8.3E-8
504: | 78|8.3E-8
505: | 79|8.3E-8
506: | 80|8.3E-8
507: | 81|2E-9
508: | 82|1E-9
509: | 83|1E-9
510: | 84|1E-9
511: | 85|1E-9
512: | 86|1E-9
513: | 87|1E-9
514: | 88|1E-9
515: | 89|1E-9
516: | 90|1E-9
517: {{/chart}}