♠Keno Strategy - The Wizard of Odds

Last Update: September 4, 2001

Following are 15 tables, according to the number of numbers chosen, and the probability of matching any given number, the payoff table at the Atlantic City Tropicana, the contribution toward the expected return, and the total expected return for all possible matches. Following the tables is an explanation of how the probabilities were calculated.

Tables

Pick 1
Catches	Pays	Probability	Return
0	0	0.75000000000000	0.00000000000000
1	3	0.25000000000000	0.75000000000000
Total		1.00000000000000	0.75000000000000

Pick 2

Catches Pays Probability Return

0 0 0.56012658227848 0.00000000000000

1 0 0.37974683544304 0.00000000000000

2 12 0.06012658227848 0.72151898734177

Total 1.00000000000000 0.72151898734177

Pick 3

Catches Pays Probability Return

0 0 0.41650438169426 0.00000000000000

1 0 0.43086660175268 0.00000000000000

2 1 0.13875365141188 0.13875365141188

3 43 0.01387536514119 0.59664070107108

Total 1.00000000000000 0.73539435248296

Pick 4

Catches Pays Probability Return

0 0 0.30832142541003 0.00000000000000

1 0 0.43273182513689 0.00000000000000

2 1 0.21263546580002 0.21263546580002

3 3 0.04324789134916 0.12974367404747

4 130 0.00306339230390 0.39824099950682

Total 1.00000000000000 0.74062013935432

Pick 5

Catches Pays Probability Return

0 0 0.22718420819687 0.00000000000000

1 0 0.40568608606583 0.00000000000000

2 0 0.27045739071056 0.00000000000000

3 1 0.08393505228948 0.08393505228948

4 10 0.01209233804171 0.12092338041705

5 800 0.00064492469556 0.51593975644609

Total 1.00000000000000 0.72079818915262

Pick 6

Catches Pays Probability Return

0 0 0.16660175267770 0.00000000000000

1 0 0.36349473311499 0.00000000000000

2 0 0.30832142541003 0.00000000000000

3 1 0.12981954754107 0.12981954754107

4 4 0.02853791777842 0.11415167111370

5 95 0.00309563853868 0.29408566117427

6 1500 0.00012898493911 0.19347740866728

Total 1.00000000000000 0.73153428849631

Pick 7

Catches Pays Probability Return

0 0 0.12157425195400 0.00000000000000

1 0 0.31519250506592 0.00000000000000

2 0 0.32665405070468 0.00000000000000

3 0 0.17499324144894 0.00000000000000

4 1 0.05219096674793 0.05219096674793

5 25 0.00863850484104 0.21596262102591

6 350 0.00073207668144 0.25622683850532

7 8000 0.00002440255605 0.19522044838501

Total 1.00000000000000 0.71960087466417

Pick 8

Catches Pays Probability Return

0 0 0.08826623772003 0.00000000000000

1 0 0.26646411387178 0.00000000000000

2 0 0.32814562171247 0.00000000000000

3 0 0.21478622512089 0.00000000000000

4 0 0.08150370149677 0.00000000000000

5 9 0.01830258559927 0.16472327039346

6 90 0.00236671365508 0.21300422895706

7 1500 0.00016045516306 0.24068274458425

8 25000 0.00000434566067 0.10864151665261

Total 1.00000000000000 0.72705176058740

Pick 9

Catches Pays Probability Return

0 0 0.06374783835335 0.00000000000000

1 0 0.22066559430007 0.00000000000000

2 0 0.31642613522274 0.00000000000000

3 0 0.24610921628435 0.00000000000000

4 0 0.11410518209547 0.00000000000000

5 4 0.03260148059871 0.13040592239483

6 50 0.00571955799977 0.28597789998865

7 280 0.00059167841377 0.16566995585549

8 4000 0.00003259245500 0.13036981998314

9 50000 0.00000072427678 0.03621383888420

Total 1.00000000000000 0.74863743710631

Pick 10

Catches Pays Probability Return

0 0 0.04579070078903 0.00000000000000

1 0 0.17957137564325 0.00000000000000

2 0 0.29525678110572 0.00000000000000

3 0 0.26740236779386 0.00000000000000

4 0 0.14731889707162 0.00000000000000

5 1 0.05142768770500 0.05142768770500

6 22 0.01147939457701 0.25254668069420

7 150 0.00161114309853 0.24167146477914

8 1000 0.00013541935526 0.13541935526417

9 5000 0.00000612064883 0.03060324412750

10 100000 0.00000011221190 0.01122118951342

Total 1.00000000000000 0.72288962208343

Pick 11

Catches Pays Probability Return

0 0 0.03270764342073 0.00000000000000

1 0 0.14391363105123 0.00000000000000

2 0 0.26807441078170 0.00000000000000

3 0 0.27838496504254 0.00000000000000

4 0 0.17858658134804 0.00000000000000

5 0 0.07408035967030 0.00000000000000

6 8 0.02020373445554 0.16162987564429

7 80 0.00360780972420 0.28862477793623

8 400 0.00041141689837 0.16456675934961

9 2500 0.00002837357920 0.07093394799552

10 25000 0.00000105799787 0.02644994671019

11 100000 0.00000001603027 0.00160302707335

Total 1.00000000000000 0.71380833470919

Pick 12

Catches Pays Probability Return

0 0 0.02322716706690 0.00000000000000

1 0 0.11376571624603 0.00000000000000

2 0 0.23777034695421 0.00000000000000

3 0 0.27972981994613 0.00000000000000

4 0 0.20576280024883 0.00000000000000

5 0 0.09938731483717 0.00000000000000

6 5 0.03220885203057 0.16104426015283

7 32 0.00702738589758 0.22487634872249

8 200 0.00101959840032 0.20391968006364

9 1000 0.00009540101991 0.09540101991282

10 5000 0.00000542798906 0.02713994532003

11 25000 0.00000016727239 0.00418180975655

12 100000 0.00000000209090 0.00020909048783

Total 1.00000000000000 0.71677215441618

Pick 13

Catches Pays Probability Return

0 1 0.01639564734134 0.01639564734134

1 0 0.08880975643226 0.00000000000000

2 0 0.20661861700566 0.00000000000000

3 0 0.27273657444747 0.00000000000000

4 0 0.22728047870623 0.00000000000000

5 0 0.12587841897576 0.00000000000000

6 1 0.04750129017953 0.04750129017953

7 20 0.01231514930580 0.24630298611609

8 80 0.00218314010421 0.17465120833686

9 600 0.00025989763145 0.15593857887220

10 3500 0.00002006227331 0.07021795656818

11 10000 0.00000094336708 0.00943367083316

12 50000 0.00000002398391 0.00119919544489

13 100000 0.00000000024599 0.00002459888092

Total 1.00000000000000 0.72166513257318

Pick 14

Catches Pays Probability Return

0 1 0.01150142425437 0.01150142425437

1 0 0.06851912321754 0.00000000000000

2 0 0.17629399411180 0.00000000000000

3 0 0.25904423624590 0.00000000000000

4 0 0.24220636088992 0.00000000000000

5 0 0.15197261859760 0.00000000000000

6 1 0.06575738304704 0.06575738304704

7 9 0.01985128544816 0.17866156903346

8 42 0.00418163651802 0.17562873375666

9 310 0.00060823803898 0.18855379208507

10 1100 0.00005973766454 0.06571143099739

11 8000 0.00000381101528 0.03048812225484

12 25000 0.00000014784111 0.00369602775180

13 50000 0.00000000308404 0.00015420194010

14 100000 0.00000000002570 0.00000257003234

Total 1.00000000000000 0.72015525515306

Pick 15

Catches Pays Probability Return

0 1 0.00801614417729 0.00801614417729

1 0 0.05227920115624 0.00000000000000

2 0 0.14793901603787 0.00000000000000

3 0 0.24040090106154 0.00000000000000

4 0 0.25021318273752 0.00000000000000

5 0 0.17615008064721 0.00000000000000

6 0 0.08634807874863 0.00000000000000

7 10 0.02988971956684 0.29889719566835

8 25 0.00733144064847 0.18328601621172

9 100 0.00126716258122 0.12671625812169

10 300 0.00015205950975 0.04561785292381

11 2800 0.00001234249267 0.03455897948773

12 25000 0.00000064960488 0.01624012193972

13 50000 0.00000002067708 0.00103385391659

14 100000 0.00000000035046 0.00003504589548

15 100000 0.00000000000234 0.00000023363930

Total 1.00000000000000 0.71440170198168

Other Keno Links

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Keno appendix 1 features an analysis of the top/bottom/left/right as as well as edge tickets as played at the Las Vegas Hilton.

Keno appendix 2 features an analysis of Caveman Keno as played on IGT's Game King.

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