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kmorel/birthdays.csv

Created September 15, 2013 03:24
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A result file for the birthday problem simulator (https://gist.github.com/kmorel/6567225). For a given number of people (up to 1000), it gives the probability of having 2, 3, 4, 5, and 6 people with the same birthday.
Raw
birthdays.csv
# People 2 analytic 2 same 3 same 4 same 5 same 6 same
1 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000
2 0.002740 0.002720 0.000000 0.000000 0.000000 0.000000
3 0.008204 0.007900 0.000010 0.000000 0.000000 0.000000
4 0.016356 0.015900 0.000050 0.000000 0.000000 0.000000
5 0.027136 0.026810 0.000090 0.000000 0.000000 0.000000
6 0.040462 0.039790 0.000150 0.000000 0.000000 0.000000
7 0.056236 0.055430 0.000240 0.000000 0.000000 0.000000
8 0.074335 0.072730 0.000380 0.000000 0.000000 0.000000
9 0.094624 0.092950 0.000590 0.000000 0.000000 0.000000
10 0.116948 0.116250 0.000890 0.000010 0.000000 0.000000
11 0.141141 0.141000 0.001290 0.000010 0.000000 0.000000
12 0.167025 0.167050 0.001720 0.000010 0.000000 0.000000
13 0.194410 0.193440 0.002190 0.000010 0.000000 0.000000
14 0.223103 0.221610 0.002810 0.000020 0.000000 0.000000
15 0.252901 0.252000 0.003520 0.000020 0.000000 0.000000
16 0.283604 0.283080 0.004130 0.000040 0.000000 0.000000
17 0.315008 0.314640 0.004920 0.000040 0.000000 0.000000
18 0.346911 0.346030 0.005760 0.000060 0.000000 0.000000
19 0.379119 0.379370 0.006920 0.000080 0.000000 0.000000
20 0.411438 0.412400 0.008250 0.000080 0.000000 0.000000
21 0.443688 0.444710 0.009800 0.000130 0.000010 0.000000
22 0.475695 0.476860 0.011290 0.000150 0.000010 0.000000
23 0.507297 0.508280 0.013080 0.000160 0.000010 0.000000
24 0.538344 0.539200 0.014850 0.000190 0.000010 0.000000
25 0.568700 0.569840 0.016760 0.000220 0.000010 0.000000
26 0.598241 0.599620 0.019030 0.000270 0.000010 0.000000
27 0.626859 0.628050 0.021460 0.000300 0.000010 0.000010
28 0.654461 0.655550 0.023930 0.000320 0.000010 0.000010
29 0.680969 0.682000 0.026290 0.000380 0.000010 0.000010
30 0.706316 0.707640 0.028950 0.000440 0.000010 0.000010
31 0.730455 0.731410 0.032030 0.000500 0.000010 0.000010
32 0.753348 0.753630 0.035140 0.000580 0.000010 0.000010
33 0.774972 0.775270 0.038650 0.000640 0.000010 0.000010
34 0.795317 0.795580 0.042270 0.000740 0.000010 0.000010
35 0.814383 0.814600 0.046210 0.000940 0.000010 0.000010
36 0.832182 0.831870 0.050040 0.001070 0.000010 0.000010
37 0.848734 0.848590 0.054290 0.001200 0.000010 0.000010
38 0.864068 0.864230 0.058420 0.001340 0.000010 0.000010
39 0.878220 0.878540 0.062370 0.001480 0.000020 0.000010
40 0.891232 0.891200 0.067000 0.001700 0.000020 0.000010
41 0.903152 0.903760 0.071870 0.001850 0.000030 0.000010
42 0.914030 0.914370 0.076870 0.002060 0.000050 0.000010
43 0.923923 0.924300 0.082400 0.002180 0.000050 0.000010
44 0.932885 0.933400 0.088220 0.002370 0.000070 0.000010
45 0.940976 0.941880 0.093990 0.002640 0.000070 0.000010
46 0.948253 0.948710 0.099940 0.002940 0.000070 0.000010
47 0.954774 0.955100 0.106070 0.003180 0.000070 0.000010
48 0.960598 0.960900 0.112940 0.003450 0.000090 0.000010
49 0.965780 0.965990 0.119210 0.003800 0.000120 0.000010
50 0.970374 0.970460 0.125970 0.004100 0.000120 0.000010
51 0.974432 0.974700 0.132890 0.004340 0.000130 0.000010
52 0.978005 0.978290 0.139920 0.004810 0.000140 0.000010
53 0.981138 0.981390 0.147650 0.005120 0.000180 0.000010
54 0.983877 0.983990 0.154960 0.005510 0.000180 0.000010
55 0.986262 0.986410 0.162940 0.005940 0.000180 0.000010
56 0.988332 0.988510 0.170650 0.006420 0.000180 0.000010
57 0.990122 0.990140 0.179190 0.006820 0.000200 0.000010
58 0.991665 0.991670 0.187590 0.007460 0.000220 0.000010
59 0.992989 0.993000 0.196560 0.007880 0.000230 0.000010
60 0.994123 0.994150 0.205710 0.008430 0.000270 0.000010
61 0.995089 0.994990 0.214790 0.009020 0.000310 0.000010
62 0.995910 0.995740 0.224520 0.009580 0.000330 0.000010
63 0.996604 0.996300 0.234790 0.010280 0.000360 0.000010
64 0.997190 0.996950 0.244540 0.010920 0.000390 0.000010
65 0.997683 0.997460 0.254600 0.011530 0.000420 0.000010
66 0.998096 0.997890 0.264400 0.012190 0.000430 0.000010
67 0.998440 0.998220 0.274740 0.013010 0.000470 0.000010
68 0.998726 0.998690 0.285360 0.013850 0.000500 0.000010
69 0.998964 0.999040 0.295670 0.014650 0.000500 0.000010
70 0.999160 0.999150 0.306330 0.015420 0.000530 0.000010
71 0.999321 0.999280 0.317170 0.016260 0.000560 0.000010
72 0.999453 0.999410 0.328110 0.017230 0.000590 0.000010
73 0.999561 0.999510 0.339010 0.018350 0.000620 0.000010
74 0.999649 0.999620 0.350280 0.019320 0.000660 0.000010
75 0.999720 0.999670 0.361620 0.020500 0.000720 0.000010
76 0.999777 0.999720 0.372740 0.021540 0.000770 0.000010
77 0.999824 0.999760 0.384240 0.022550 0.000840 0.000010
78 0.999861 0.999800 0.395510 0.023930 0.000860 0.000010
79 0.999891 0.999850 0.406980 0.025360 0.000920 0.000010
80 0.999914 0.999860 0.418750 0.026640 0.000990 0.000010
81 0.999933 0.999900 0.430380 0.027850 0.001070 0.000020
82 0.999948 0.999920 0.441960 0.029420 0.001110 0.000020
83 0.999960 0.999960 0.453570 0.030920 0.001170 0.000020
84 0.999969 0.999970 0.464230 0.032420 0.001220 0.000020
85 0.999976 0.999980 0.475820 0.034130 0.001350 0.000020
86 0.999982 0.999990 0.487380 0.035820 0.001460 0.000020
87 0.999986 0.999990 0.499070 0.037470 0.001580 0.000020
88 0.999989 0.999990 0.510820 0.039230 0.001670 0.000020
89 0.999992 0.999990 0.522310 0.041020 0.001800 0.000030
90 0.999994 0.999990 0.533850 0.042980 0.001870 0.000050
91 0.999995 0.999990 0.545350 0.044920 0.002030 0.000060
92 0.999997 0.999990 0.557050 0.046960 0.002110 0.000070
93 0.999997 1.000000 0.568200 0.048900 0.002280 0.000070
94 0.999998 1.000000 0.579730 0.050980 0.002410 0.000070
95 0.999999 1.000000 0.591150 0.053180 0.002530 0.000070
96 0.999999 1.000000 0.602180 0.055240 0.002650 0.000080
97 0.999999 1.000000 0.613740 0.057330 0.002770 0.000090
98 0.999999 1.000000 0.624740 0.059760 0.002910 0.000090
99 1.000000 1.000000 0.635810 0.062070 0.003070 0.000090
100 1.000000 1.000000 0.646840 0.064480 0.003210 0.000100
101 1.000000 1.000000 0.657920 0.066970 0.003370 0.000120
102 1.000000 1.000000 0.668340 0.069450 0.003540 0.000120
103 1.000000 1.000000 0.678380 0.071970 0.003700 0.000120
104 1.000000 1.000000 0.688870 0.074470 0.003880 0.000140
105 1.000000 1.000000 0.699310 0.076980 0.004060 0.000150
106 1.000000 1.000000 0.709530 0.079810 0.004280 0.000170
107 1.000000 1.000000 0.718750 0.082600 0.004450 0.000190
108 1.000000 1.000000 0.728220 0.085570 0.004700 0.000200
109 1.000000 1.000000 0.737230 0.088690 0.004950 0.000220
110 1.000000 1.000000 0.746520 0.091410 0.005230 0.000230
111 1.000000 1.000000 0.755830 0.094680 0.005470 0.000240
112 1.000000 1.000000 0.763900 0.097940 0.005730 0.000250
113 1.000000 1.000000 0.772900 0.101260 0.006070 0.000270
114 1.000000 1.000000 0.781240 0.104450 0.006310 0.000270
115 1.000000 1.000000 0.789610 0.107860 0.006620 0.000270
116 1.000000 1.000000 0.797730 0.111070 0.006860 0.000290
117 1.000000 1.000000 0.805660 0.114310 0.007170 0.000340
118 1.000000 1.000000 0.813590 0.117980 0.007490 0.000350
119 1.000000 1.000000 0.821500 0.121400 0.007800 0.000380
120 1.000000 1.000000 0.829350 0.125150 0.008240 0.000400
121 1.000000 1.000000 0.836760 0.129040 0.008640 0.000400
122 1.000000 1.000000 0.843390 0.132930 0.008890 0.000400
123 1.000000 1.000000 0.850900 0.136850 0.009340 0.000420
124 1.000000 1.000000 0.857440 0.140530 0.009750 0.000460
125 1.000000 1.000000 0.863080 0.144590 0.010100 0.000480
126 1.000000 1.000000 0.869160 0.148320 0.010420 0.000510
127 1.000000 1.000000 0.874870 0.152550 0.010920 0.000540
128 1.000000 1.000000 0.880840 0.156500 0.011310 0.000540
129 1.000000 1.000000 0.886720 0.160380 0.011830 0.000570
130 1.000000 1.000000 0.891990 0.164910 0.012280 0.000610
131 1.000000 1.000000 0.897190 0.168940 0.012660 0.000640
132 1.000000 1.000000 0.902280 0.173210 0.013190 0.000670
133 1.000000 1.000000 0.907180 0.177780 0.013510 0.000700
134 1.000000 1.000000 0.911770 0.182320 0.013920 0.000730
135 1.000000 1.000000 0.915850 0.187070 0.014540 0.000800
136 1.000000 1.000000 0.920140 0.191990 0.015090 0.000860
137 1.000000 1.000000 0.924460 0.196580 0.015650 0.000950
138 1.000000 1.000000 0.928550 0.201360 0.016210 0.000970
139 1.000000 1.000000 0.932350 0.206070 0.016820 0.001020
140 1.000000 1.000000 0.935920 0.210840 0.017380 0.001020
141 1.000000 1.000000 0.939280 0.216030 0.017890 0.001030
142 1.000000 1.000000 0.942600 0.220820 0.018500 0.001100
143 1.000000 1.000000 0.945960 0.225420 0.018990 0.001130
144 1.000000 1.000000 0.949250 0.230650 0.019620 0.001170
145 1.000000 1.000000 0.952240 0.236330 0.020360 0.001230
146 1.000000 1.000000 0.954830 0.241640 0.020980 0.001260
147 1.000000 1.000000 0.957530 0.247030 0.021670 0.001290
148 1.000000 1.000000 0.959970 0.252690 0.022290 0.001340
149 1.000000 1.000000 0.962290 0.258640 0.022950 0.001370
150 1.000000 1.000000 0.964470 0.264600 0.023720 0.001420
151 1.000000 1.000000 0.966720 0.270180 0.024610 0.001460
152 1.000000 1.000000 0.969030 0.276060 0.025210 0.001520
153 1.000000 1.000000 0.971320 0.282360 0.026120 0.001580
154 1.000000 1.000000 0.973090 0.288120 0.026820 0.001660
155 1.000000 1.000000 0.974960 0.294400 0.027750 0.001750
156 1.000000 1.000000 0.976600 0.300390 0.028560 0.001840
157 1.000000 1.000000 0.978010 0.306590 0.029300 0.001930
158 1.000000 1.000000 0.979480 0.312480 0.030280 0.002050
159 1.000000 1.000000 0.980830 0.318280 0.031180 0.002160
160 1.000000 1.000000 0.982250 0.324400 0.032070 0.002270
161 1.000000 1.000000 0.983460 0.330760 0.032980 0.002350
162 1.000000 1.000000 0.984740 0.337030 0.033900 0.002420
163 1.000000 1.000000 0.985690 0.343340 0.034910 0.002510
164 1.000000 1.000000 0.986740 0.350390 0.035840 0.002570
165 1.000000 1.000000 0.987610 0.357100 0.036850 0.002640
166 1.000000 1.000000 0.988520 0.363730 0.037870 0.002760
167 1.000000 1.000000 0.989400 0.370180 0.038950 0.002890
168 1.000000 1.000000 0.990200 0.376860 0.040180 0.003010
169 1.000000 1.000000 0.991100 0.383500 0.041330 0.003120
170 1.000000 1.000000 0.991740 0.390420 0.042450 0.003330
171 1.000000 1.000000 0.992380 0.396480 0.043480 0.003420
172 1.000000 1.000000 0.992890 0.402950 0.044660 0.003510
173 1.000000 1.000000 0.993480 0.409440 0.045770 0.003640
174 1.000000 1.000000 0.993860 0.416180 0.046940 0.003780
175 1.000000 1.000000 0.994300 0.422580 0.048140 0.003920
176 1.000000 1.000000 0.994800 0.429090 0.049530 0.004040
177 1.000000 1.000000 0.995140 0.436150 0.050700 0.004210
178 1.000000 1.000000 0.995590 0.442980 0.052000 0.004350
179 1.000000 1.000000 0.995970 0.449500 0.053260 0.004470
180 1.000000 1.000000 0.996360 0.456390 0.054840 0.004670
181 1.000000 1.000000 0.996720 0.462890 0.056250 0.004840
182 1.000000 1.000000 0.997040 0.469350 0.057600 0.005000
183 1.000000 1.000000 0.997400 0.476220 0.058910 0.005210
184 1.000000 1.000000 0.997700 0.482960 0.060270 0.005310
185 1.000000 1.000000 0.997820 0.489530 0.061840 0.005470
186 1.000000 1.000000 0.998010 0.496300 0.063520 0.005630
187 1.000000 1.000000 0.998150 0.503200 0.065110 0.005800
188 1.000000 1.000000 0.998300 0.509720 0.066730 0.005890
189 1.000000 1.000000 0.998590 0.516500 0.068270 0.006080
190 1.000000 1.000000 0.998710 0.523210 0.069940 0.006260
191 1.000000 1.000000 0.998840 0.529790 0.071660 0.006430
192 1.000000 1.000000 0.998950 0.536740 0.073290 0.006620
193 1.000000 1.000000 0.999030 0.543610 0.075160 0.006810
194 1.000000 1.000000 0.999150 0.550260 0.077080 0.007020
195 1.000000 1.000000 0.999250 0.556530 0.078850 0.007230
196 1.000000 1.000000 0.999290 0.563880 0.080730 0.007430
197 1.000000 1.000000 0.999430 0.570360 0.082820 0.007690
198 1.000000 1.000000 0.999470 0.577110 0.084750 0.007970
199 1.000000 1.000000 0.999540 0.584200 0.086450 0.008170
200 1.000000 1.000000 0.999580 0.591590 0.088440 0.008400
201 1.000000 1.000000 0.999630 0.597890 0.090800 0.008620
202 1.000000 1.000000 0.999680 0.604480 0.092810 0.008870
203 1.000000 1.000000 0.999710 0.611090 0.094670 0.009080
204 1.000000 1.000000 0.999720 0.617650 0.096720 0.009380
205 1.000000 1.000000 0.999740 0.624110 0.099010 0.009660
206 1.000000 1.000000 0.999740 0.630780 0.101210 0.009870
207 1.000000 1.000000 0.999770 0.637520 0.103460 0.010080
208 1.000000 1.000000 0.999790 0.643930 0.105660 0.010230
209 1.000000 1.000000 0.999810 0.650180 0.107860 0.010440
210 1.000000 1.000000 0.999830 0.657010 0.110000 0.010790
211 1.000000 1.000000 0.999840 0.662970 0.112260 0.011020
212 1.000000 1.000000 0.999860 0.669670 0.114480 0.011330
213 1.000000 1.000000 0.999870 0.675910 0.116650 0.011690
214 1.000000 1.000000 0.999890 0.682240 0.119130 0.011890
215 1.000000 1.000000 0.999900 0.688140 0.121540 0.012160
216 1.000000 1.000000 0.999930 0.694280 0.124170 0.012470
217 1.000000 1.000000 0.999930 0.700030 0.126710 0.012810
218 1.000000 1.000000 0.999950 0.706240 0.129210 0.013140
219 1.000000 1.000000 0.999960 0.712430 0.132190 0.013470
220 1.000000 1.000000 0.999960 0.718560 0.134710 0.013790
221 1.000000 1.000000 0.999970 0.724710 0.137510 0.014150
222 1.000000 1.000000 0.999970 0.730980 0.140270 0.014380
223 1.000000 1.000000 0.999970 0.737380 0.142730 0.014840
224 1.000000 1.000000 0.999980 0.743030 0.145560 0.015270
225 1.000000 1.000000 0.999980 0.749070 0.148420 0.015530
226 1.000000 1.000000 0.999980 0.754800 0.151390 0.015910
227 1.000000 1.000000 0.999980 0.760130 0.154240 0.016430
228 1.000000 1.000000 0.999980 0.765470 0.157230 0.016800
229 1.000000 1.000000 0.999980 0.770690 0.160140 0.017090
230 1.000000 1.000000 0.999980 0.775880 0.163050 0.017390
231 1.000000 1.000000 0.999990 0.781310 0.166160 0.017840
232 1.000000 1.000000 0.999990 0.786610 0.169130 0.018210
233 1.000000 1.000000 0.999990 0.791600 0.171890 0.018600
234 1.000000 1.000000 0.999990 0.796650 0.175070 0.019060
235 1.000000 1.000000 0.999990 0.801330 0.177890 0.019590
236 1.000000 1.000000 0.999990 0.806250 0.181160 0.019990
237 1.000000 1.000000 0.999990 0.810620 0.184350 0.020460
238 1.000000 1.000000 1.000000 0.815210 0.187370 0.021000
239 1.000000 1.000000 1.000000 0.820220 0.190540 0.021430
240 1.000000 1.000000 1.000000 0.824940 0.193760 0.021830
241 1.000000 1.000000 1.000000 0.829170 0.197050 0.022400
242 1.000000 1.000000 1.000000 0.833430 0.200540 0.023060
243 1.000000 1.000000 1.000000 0.837920 0.203730 0.023490
244 1.000000 1.000000 1.000000 0.842210 0.206980 0.024030
245 1.000000 1.000000 1.000000 0.846460 0.210310 0.024580
246 1.000000 1.000000 1.000000 0.850940 0.213680 0.025210
247 1.000000 1.000000 1.000000 0.855190 0.217160 0.025830
248 1.000000 1.000000 1.000000 0.859120 0.220340 0.026380
249 1.000000 1.000000 1.000000 0.862850 0.223640 0.026920
250 1.000000 1.000000 1.000000 0.866910 0.227160 0.027480
251 1.000000 1.000000 1.000000 0.870850 0.230900 0.028080
252 1.000000 1.000000 1.000000 0.874400 0.234360 0.028610
253 1.000000 1.000000 1.000000 0.877970 0.238060 0.029200
254 1.000000 1.000000 1.000000 0.881750 0.241580 0.029760
255 1.000000 1.000000 1.000000 0.885170 0.245100 0.030440
256 1.000000 1.000000 1.000000 0.888770 0.248950 0.031050
257 1.000000 1.000000 1.000000 0.892090 0.253070 0.031580
258 1.000000 1.000000 1.000000 0.895550 0.256530 0.032360
259 1.000000 1.000000 1.000000 0.898750 0.260720 0.033090
260 1.000000 1.000000 1.000000 0.901860 0.264280 0.033720
261 1.000000 1.000000 1.000000 0.905220 0.268440 0.034470
262 1.000000 1.000000 1.000000 0.908590 0.272090 0.035210
263 1.000000 1.000000 1.000000 0.911760 0.276230 0.036000
264 1.000000 1.000000 1.000000 0.914670 0.279920 0.036700
265 1.000000 1.000000 1.000000 0.917380 0.283540 0.037500
266 1.000000 1.000000 1.000000 0.920150 0.287250 0.038310
267 1.000000 1.000000 1.000000 0.922790 0.291100 0.038990
268 1.000000 1.000000 1.000000 0.925400 0.295420 0.039750
269 1.000000 1.000000 1.000000 0.927950 0.299770 0.040660
270 1.000000 1.000000 1.000000 0.930490 0.304060 0.041640
271 1.000000 1.000000 1.000000 0.932980 0.308110 0.042480
272 1.000000 1.000000 1.000000 0.935400 0.311950 0.043330
273 1.000000 1.000000 1.000000 0.937730 0.316160 0.044190
274 1.000000 1.000000 1.000000 0.939930 0.320140 0.044930
275 1.000000 1.000000 1.000000 0.942010 0.324140 0.045770
276 1.000000 1.000000 1.000000 0.944370 0.328450 0.046720
277 1.000000 1.000000 1.000000 0.946570 0.332880 0.047510
278 1.000000 1.000000 1.000000 0.948600 0.336990 0.048560
279 1.000000 1.000000 1.000000 0.950520 0.341420 0.049480
280 1.000000 1.000000 1.000000 0.952080 0.345750 0.050450
281 1.000000 1.000000 1.000000 0.953800 0.350120 0.051440
282 1.000000 1.000000 1.000000 0.955630 0.354790 0.052290
283 1.000000 1.000000 1.000000 0.957530 0.359160 0.053260
284 1.000000 1.000000 1.000000 0.959220 0.363650 0.054380
285 1.000000 1.000000 1.000000 0.961000 0.368020 0.055260
286 1.000000 1.000000 1.000000 0.962580 0.372590 0.056370
287 1.000000 1.000000 1.000000 0.964090 0.377320 0.057460
288 1.000000 1.000000 1.000000 0.965600 0.382140 0.058600
289 1.000000 1.000000 1.000000 0.967040 0.386810 0.059710
290 1.000000 1.000000 1.000000 0.968280 0.391520 0.060890
291 1.000000 1.000000 1.000000 0.969560 0.396120 0.061960
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987 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000
988 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000
989 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000
990 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000
991 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000
992 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000
993 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000
994 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000
995 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000
996 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000
997 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000
998 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000
999 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000
1000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000
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