Bingo Probabilities

/assets/images/inner/bingo.gifEvery player wants to know what their chances are of getting a Bingo result on a single card, multiple cards, with more or less players, and so on and so forth. Unfortunately, the answer differs according to these factors and the type of game being played.

To give you a general idea of the type of odds you're up against, however, consider the following example: If there are 900 cards being played in a single game, and you're playing 9 of them, your odds of 'winning' are about 1%.

What we supplied, below, is a brief but informative breakdown of the probability of getting a Bingo result on one individual card with each successive call-out. So, this isn't your probability of 'winning', just the likelihood that an individual card will catch a Bingo after each successive call. For example, after 30 calls, there's a 14% chance a single player will have single-line Bingo, and 2% chance of hitting four corners.

We hope this helps at least a bit.

       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       
       

Bingo Odds and Probabilities Chart

 

No. of Calls

BINGO

COVER ALL

4 CORNERS

1

0.00000000

0.00000000

0.00000000

2

0.00000000

0.00000000

0.00000000

3

0.00000000

0.00000000

0.00000000

4

0.00000329

0.00000000

0.00000082

5

0.00001692

0.00000000

0.00000411

6

0.00005215

0.00000000

0.00001234

7

0.00012492

0.00000000

0.00002880

8

0.00025632

0.00000000

0.00005759

9

0.00047305

0.00000000

0.00010367

10

0.00080783

0.00000000

0.00017278

11

0.00129986

0.00000000

0.00027150

12

0.00199521

0.00000000

0.00040726

13

0.00294715

0.00000000

0.00058826

14

0.00421648

0.00000000

0.00082356

15

0.00587167

0.00000000

0.00112304

16

0.00798905

0.00000000

0.00149739

17

0.01065272

0.00000000

0.00195812

18

0.01395440

0.00000000

0.00251759

19

0.01799309

0.00000000

0.00318894

20

0.02287445

0.00000000

0.00398618

21

0.02871003

0.00000000

0.00492410

22

0.03561614

0.00000000

0.00601835

23

0.04371249

0.00000000

0.00728537

24

0.05312045

0.00000000

0.00874244

25

0.06396106

0.00000000

0.01040767

26

0.07635261

0.00000000

0.01229997

27

0.09040799

0.00000000

0.01443910

28

0.10623163

0.00000000

0.01684561

29

0.12391628

0.00000000

0.01954091

30

0.14353947

0.00000000

0.02254720

31

0.16515993

0.00000000

0.02588753

32

0.18881391

0.00000000

0.02958575

33

0.21451154

0.00000000

0.03366654

34

0.24223348

0.00000000

0.03815542

35

0.27192783

0.00000000

0.04307870

36

0.30350759

0.00000000

0.04846353

37

0.33684876

0.00000000

0.05433790

38

0.37178933

0.00000000

0.06073059

39

0.40812916

0.00000000

0.06767123

40

0.44563111

0.00000000

0.07519026

41

0.48402328

0.00000001

0.08331894

42

0.52300269

0.00000001

0.09208935

43

0.56224021

0.00000003

0.10153441

44

0.60138685

0.00000007

0.11168785

45

0.64008123

0.00000015

0.12258423

46

0.67795818

0.00000031

0.13425892

47

0.71465810

0.00000063

0.14674812

48

0.74983686

0.00000125

0.16008886

49

0.78317588

0.00000245

0.17431898

50

0.81439191

0.00000472

0.18947715

51

0.84324614

0.00000891

0.20560286

52

0.86955207

0.00001654

0.22273644

53

0.89318170

0.00003023

0.24091900

54

0.91406974

0.00005441

0.26019252

55

0.93221528

0.00009654

0.28059978

56

0.94768080

0.00016894

0.30218438

57

0.96058846

0.00029180

0.32499074

58

0.97111353

0.00049778

0.34906413

59

0.97947539

0.00083912

0.37445061

60

0.98592639

0.00139853

0.40119709

61

0.99073928

0.00230569

0.42935127

62

0.99419379

0.00376192

0.45896170

63

0.99656346

0.00607694

0.49007775

64

0.99810354

0.00972311

0.52274960

65

0.99904080

0.01541468

0.55702826

66

0.99956626

0.02422308

0.59296557

67

0.99983122

0.03774293

0.63061418

68

0.99994699

0.05832999

0.67002756

69

0.99998812

0.08943931

0.71126003

70

0.99999861

0.13610330

0.75436670

71

1.00000000

0.20560286

0.79940351

72

1.00000000

0.30840429

0.84642725

73

1.00000000

0.45945946

0.89549550

74

1.00000000

0.68000000

0.94666667

75

1.00000000

1.00000000

1.00000000