Probability of shared birthday with N people
NProbability
1 0.00000
2 0.00274
3 0.00820
4 0.01636
5 0.02714
6 0.04046
7 0.05624
8 0.07434
9 0.09462
10 0.11695
11 0.14114
12 0.16702
13 0.19441
14 0.22310
15 0.25290
16 0.28360
17 0.31501
18 0.34691
19 0.37912
20 0.41144
21 0.44369
22 0.47570
23 0.50730
24 0.53834
25 0.56870
26 0.59824
27 0.62686
28 0.65446
29 0.68097
30 0.70632
31 0.73045
32 0.75335
33 0.77497
34 0.79532
35 0.81438
36 0.83218
37 0.84873
38 0.86407
39 0.87822
40 0.89123
41 0.90315
42 0.91403
43 0.92392
44 0.93289
45 0.94098
46 0.94825
47 0.95477
48 0.96060
49 0.96578
50 0.97037
51 0.97443
52 0.97800
53 0.98114
54 0.98388
55 0.98626
56 0.98833
57 0.99012
58 0.99166
59 0.99299
60 0.99412
61 0.99509
62 0.99591
63 0.99660
64 0.99719
65 0.99768
66 0.99810
67 0.99844
68 0.99873
69 0.99896
70 0.99916
71 0.99932
72 0.99945
73 0.99956
74 0.99965
75 0.99972
76 0.99978
77 0.99982
78 0.99986
79 0.99989
80 0.99991
81 0.99993
82 0.99995
83 0.99996
84 0.99997
85 0.99998
86 0.99998
87 0.99999
88 0.99999
89 0.99999
90 0.99999
91 1.00000
9