Approximate Probability of/odds against Two distinct people having the same birthday in a crowd of N people N probability odds 1 0 infinity 2 2.739726E-3 364.000 3 8.204166E-3 120.889 4 1.635591E-2 60.1400 5 2.713557E-2 35.8520 6 4.046248E-2 23.7143 7 5.623570E-2 16.7823 8 7.433529E-2 12.4526 9 9.462383E-2 9.56816 10 0.116948 7.55080 11 0.141141 6.08509 12 0.167025 4.98714 13 0.194410 4.14376 14 0.223103 3.48224 15 0.252901 2.95411 16 0.283604 2.52604 17 0.315008 2.17453 18 0.346911 1.88258 19 0.379119 1.63770 20 0.411438 1.43050 21 0.443688 1.25383 22 0.475695 1.10219 23 0.507297 0.971231 24 0.538344 0.857547 25 0.568700 0.758397 26 0.598241 0.671568 27 0.626859 0.595254 28 0.654461 0.527974 29 0.680969 0.468497 30 0.706316 0.415796 31 0.730455 0.369010 32 0.753348 0.327409 33 0.774972 0.290369 34 0.795317 0.257360 35 0.814383 0.227923