The Birthday problem

# people

P(no match)

P(match)

2

0.99726027

0.00273973

3

0.99179583

0.00820417

4

0.98364409

0.01635591

5

0.97286443

0.02713557

6

0.95953752

0.04046248

7

0.9437643

0.0562357

8

0.92566471

0.07433529

9

0.90537617

0.09462383

10

0.88305182

0.11694818

11

0.85885862

0.14114138

12

0.83297521

0.16702479

13

0.80558972

0.19441028

14

0.77689749

0.22310251

15

0.74709868

0.25290132

16

0.71639599

0.28360401

17

0.68499233

0.31500767

18

0.65308858

0.34691142

19

0.62088147

0.37911853

20

0.58856162

0.41143838

21

0.55631166

0.44368834

22

0.52430469

0.47569531

23

0.49270277

0.50729723

24

0.46165574

0.53834426

25

0.4313003

0.5686997

26

0.40175918

0.59824082

27

0.37314072

0.62685928

28

0.34553853

0.65446147

29

0.31903146

0.68096854

30

0.29368376

0.70631624

31

0.26954537

0.73045463

32

0.24665247

0.75334753

33

0.22502815

0.77497185

34

0.20468314

0.79531686

35

0.18561676

0.81438324

36

0.16781789

0.83218211

37

0.15126599

0.84873401

38

0.13593218

0.86406782

39

0.12178034

0.87821966

40

0.10876819

0.89123181

41

0.09684839

0.90315161

42

0.08596953

0.91403047

43

0.07607714

0.92392286

44

0.06711463

0.93288537

45

0.0590241

0.9409759

46

0.05174716

0.94825284

47

0.0452256

0.9547744

48

0.03940203

0.96059797

49

0.03422039

0.96577961