Top-Bottom Keno

Last update: Aug. 8, 2005

Top-bottom keno pays according to how many balls fall into a half (top or bottom) chosen by the player. Pay table can vary, as always with keno. The return table below, based on a game I found in Las Vegas, shows a return of 94.32%.

Top Bottom Keno

Catches Pays Combinations Probability Return

20 12500 137846528820 0.00000004 0.00048739

19 5000 5251296336000 0.00000149 0.00742691

18 558 88436604204000 0.00002502 0.01395848

17 180 876675902544001 0.00024798 0.0446358

16 32 5744053569793500 0.00162476 0.05199244

15 12 26468598849608400 0.00748691 0.08984294

14 3 89077015359259200 0.02519634 0.07558901

13 2 224342112756653000 0.06345744 0.12691488

12 1 429655207020554000 0.12153233 0.12153233

11 0 632136396535987000 0.17880619 0

10 0 718528370729238000 0.20324303 0

9 0 632136396535987000 0.17880619 0

8 0 429655207020554000 0.12153233 0

7 2 224342112756653000 0.06345744 0.12691488

6 3 89077015359259200 0.02519634 0.07558901

5 12 26468598849608400 0.00748691 0.08984294

4 32 5744053569793500 0.00162476 0.05199244

3 180 876675902544001 0.00024798 0.0446358

2 558 88436604204000 0.00002502 0.01395848

1 5000 5251296336000 0.00000149 0.00742691

0 12500 137846528820 0.00000004 0.00048739

Total 3535316142212170000 1 0.94322802

Other Keno Links

keno Main keno section.
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.
Keno appendix 3 probabilities and returns for basic keno at the Atlantic City Tropicana.
Keno appendix 4 progressive keno at the Orleans. Learn when the meter is high enough to have a positive expectation.
Keno appendix 5 Nevada numbers, a progressive lottery game at some of the Nevada Park Place casinos.
Keno appendix 6 Australian Power Keno.

The Wizard's other sites: Wizard of Vegas, Wizard of Macau, Math Problems The Wizard recommends: The Bear Growls, Casinomeister, Online Casino Suite