总体中生日不相同的概率

人数

在前n-1个生日不同的情况

下，第n个人与前n-1个人生日

不同的概率（小数形式表示）

在前n-1个生日不同的情况

下，第n个人与前n-1个人生日

不同的概率（分数形式表示）

136536511 23643650.997260274364/365 33633650.994520548363/365 43623650.991780822362/365 53613650.989041096361/365 63603650.9863013772/73 73593650.983561644359/365 83583650.980821918358/365 93573650.978082192357/365 103563650.975342466356/365 113553650.9726027471/73 123543650.969863014354/365 133533650.967123288353/365 143523650.964383562352/365 153513650.961643836351/365 163503650.9589041170/73 173493650.956164384349/365 183483650.953424658348/365 193473650.950684932347/365 203463650.947945205346/365 213453650.94520547969/73 223443650.942465753344/365 233433650.939726027343/365 243423650.936986301342/365 253413650.934246575341/365 263403650.93150684968/73 273393650.928767123339/365 283383650.926027397338/365 293373650.923287671337/365 303363650.920547945336/365 313353650.91780821967/73 323343650.915068493334/365 333333650.912328767333/365 343323650.909589041332/365 353313650.906849315331/365 363303650.90410958966/73 373293650.901369863329/365 383283650.898630137328/365 393273650.895890411327/365 403263650.893150685326/365 413253650.89041095965/73 423243650.887671233324/365 433233650.884931507323/365 443223650.882191781322/365

453213650.879452055321/365 463203650.87671232964/73 473193650.873972603319/365 483183650.871232877318/365 493173650.868493151317/365 503163650.865753425316/365 513153650.86301369963/73 523143650.860273973314/365 533133650.857534247313/365 543123650.854794521312/365 553113650.852*********/365 563103650.84931506862/73 573093650.846575342309/365 583083650.843835616308/365 593073650.84109589307/365 603063650.838356164306/365 613053650.83561643861/73 623043650.832876712304/365 633033650.830136986303/365 643023650.82739726302/365 653013650.824657534301/365 663003650.82191780860/73 672993650.819178082299/365 682983650.816438356298/365 692973650.81369863297/365 702963650.810958904296/365 712953650.80821917859/73 722943650.805479452294/365 732933650.802739726293/365 742923650.84/5 752913650.797260274291/365 762903650.79452054858/73 772893650.791780822289/365 782883650.789041096288/365 792873650.78630137287/365 802863650.783561644286/365 812853650.78082191857/73 822843650.778082192284/365 832833650.775342466283/365 842823650.77260274282/365 852813650.769863014281/365 862803650.76712328856/73 872793650.764383562279/365 882783650.761643836278/365 892773650.75890411277/365 902763650.756164384276/365 912753650.75342465855/73

922743650.750684932274/365

932733650.747945205273/365

942723650.745205479272/365

952713650.742465753271/365

962703650.73972602754/73

972693650.736986301269/365

982683650.734246575268/365

992673650.731506849267/365

1002663650.728767123266/365

由此可见，总体人数在>=57时，总体生日

率<0.01，即总体中至少有2个人生日天数相同

n个人生日不同的概率n个人中至少有2个人生日相同的概率

10

0.9972602740.002739726 0.9917958340.008204166 0.9836440880.016355912 0.9728644260.027135574 0.9595375160.040462484 0.9437642970.056235703 0.9256647080.074335292 0.9053761660.094623834 0.8830518220.116948178 0.8588586220.141141378 0.8329752110.167024789 0.8055897250.194410275 0.7768974880.223102512 0.747098680.25290132 0.7163959950.283604005 0.6849923350.315007665 0.6530885820.346911418 0.6208814740.379118526 0.5885616160.411438384 0.5563116650.443688335 0.5243046920.475695308 0.4927027660.507297234 0.4616557420.538344258 0.4313002960.568699704 0.401759180.59824082 0.3731407180.626859282 0.3455385280.654461472 0.3190314630.680968537 0.2936837570.706316243 0.2695453660.730454634 0.2466524720.753347528 0.2250281460.774971854 0.2046831350.795316865 0.1856167610.814383239 0.1678178940.832182106 0.1512659920.848734008 0.1359321790.864067821 0.1217803360.878219664 0.108768190.89123181 0.0968483890.903151611 0.0859695280.914030472 0.0760771440.923922856 0.0671146310.932885369

0.0590241010.940975899 0.0517471570.948252843 0.0452255970.954774403 0.0394020270.960597973 0.0342203910.965779609 0.029626420.97037358 0.025*******.974431993 0.021*******.978004509 0.0188618870.981138113 0.0161230370.983876963 0.0137377110.986262289 0.0116676450.988332355 0.0098775410.990122459 0.0083350210.991664979 0.0070105520.992989448 0.0058773390.994122661 0.0049112010.995088799 0.0040904250.995909575 0.0033956130.996604387 0.0028095210.997190479 0.0023168930.997683107 0.0019042950.998095705 0.0015599570.998440043 0.0012736090.998726391 0.0010363340.998963666 0.0008404240.999159576 0.0006792470.999320753 0.0005471190.999452881 0.0004391940.999560806 0.0003513560.999648644 0.0002801220.999719878 0.0002225630.999777437 0.0001762210.999823779 0.0001390450.999860955 0.0001093320.999890668 8.56681E-050.999914332 6.68915E-050.999933109 5.20471E-050.999947953 4.03543E-050.999959646 3.11779E-050.999968822 2.40027E-050.999975997 1.8413E-050.999981587 1.40746E-050.999985925 1.07198E-050.99998928 8.13533E-060.999991865 6.15164E-060.999993848 4.6348E-060.999995365

3.47927E-060.999996521

2.60231E-060.999997398

1.93925E-060.999998061

1.43983E-060.99999856

1.06508E-060.999998935

7.84949E-070.999999215

5.76346E-070.999999424

4.21601E-070.999999578

3.07249E-070.999999693体生日天数都不同的概日天数相同的概率>0.99