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Keno Exacta
Introduction
Keno Exacta is a keno game I noticed at the Orleans on April 20, 2012. It pays if two consecutive keno games have the same number of catches, and are withing a specified range of catches. For example, if the player purchased two consecutive eight-spot games, and caught five numbers on both of them, then the 25¢ Exacta bet would be $490.
Rules
- To bet the Exacta the player must first bet two games for $1 each. These two games will pay according to the standard Orleans pay table.
- At the time of purchase, the player may bet an extra 25¢ to qualify for extra wins for an Exacta.
- If both games have the same number of catches, above a certain number, then the Exacta bet will win.
The following is the base game pay table.
Base Pay Table
| Catch | Pick 1 | Pick 2 | Pick 3 | Pick 4 | Pick 5 | Pick 6 | Pick 7 | Pick 8 | Pick 9 | Pick 10 |
|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 2 | 12 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | |
| 3 | 45 | 2 | 1 | 1 | 0 | 0 | 0 | 0 | ||
| 4 | 160 | 15 | 4 | 1 | 0 | 0 | 0 | |||
| 5 | 750 | 80 | 15 | 5 | 6 | 1 | ||||
| 6 | 2000 | 400 | 75 | 30 | 25 | |||||
| 7 | 10000 | 1500 | 300 | 125 | ||||||
| 8 | 50000 | 5000 | 1000 | |||||||
| 9 | 50000 | 10000 | ||||||||
| 10 | 100000 |
The following is the Exacta pay table.
Exacta Pay Table
| Catch | Pick 1 | Pick 2 | Pick 3 | Pick 4 | Pick 5 | Pick 6 | Pick 7 | Pick 8 | Pick 9 | Pick 10 |
|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 2 | 66 | 3 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | |
| 3 | 910 | 56 | 8 | 3 | 2 | 0 | 0 | 0 | ||
| 4 | 9680 | 1170 | 117 | 18 | 5 | 3 | 2 | |||
| 5 | 48500 | 9840 | 1470 | 490 | 113 | 25 | ||||
| 6 | 246000 | 49200 | 7350 | 1940 | 500 | |||||
| 7 | 480000 | 97000 | 49400 | 25000 | ||||||
| 8 | 900000 | 490000 | 250000 | |||||||
| 9 | 900000 | 1000000 | ||||||||
| 10 | 1000000 |
Base Game Odds
The following are the probabilities of winning for the base game.
The next table shows the return for each win. The bottom row shows the total return by number of picks.
Exacta Odds
The following two tables are the probabilities for the Exacta game, which are simply the square of the odds in the base game.
Exacta Probabilities — Pick 1 to 6
| Catch | Pick 1 | Pick 2 | Pick 3 | Pick 4 | Pick 5 | Pick 6 |
|---|---|---|---|---|---|---|
| 0 | 0.562500 | 0.313742 | 0.173476 | 0.09506210 | 0.051612664 | 0.0277561440 |
| 1 | 0.062500 | 0.144208 | 0.185646 | 0.18725683 | 0.164581200 | 0.1321284210 |
| 2 | 0.000000 | 0.003615 | 0.019253 | 0.04521384 | 0.073147200 | 0.0950621014 |
| 3 | 0.000000 | 0.000000 | 0.000193 | 0.00187038 | 0.007045093 | 0.0168531149 |
| 4 | 0.000000 | 0.000000 | 0.000000 | 0.00000938 | 0.000146225 | 0.0008144128 |
| 5 | 0.000000 | 0.000000 | 0.000000 | 0.00000000 | 0.000000416 | 0.0000095830 |
| 6 | 0.000000 | 0.000000 | 0.000000 | 0.00000000 | 0.000000000 | 0.0000000166 |
| Total | 0.625000 | 0.461565 | 0.378567 | 0.32941254 | 0.296532799 | 0.2726237937 |
Exacta Probabilities — Pick 7 to 10
| Catch | Pick 7 | Pick 8 | Pick 9 | Pick 10 |
|---|---|---|---|---|
| 0 | 0.014780298738 | 0.0077909287212 | 0.004063786894725 | 0.0020967882787503 |
| 1 | 0.099346315250 | 0.0710031239815 | 0.048693304507802 | 0.0322458789504079 |
| 2 | 0.106702868842 | 0.1076795490491 | 0.100125499051997 | 0.0871765667889125 |
| 3 | 0.030622634553 | 0.0461331225017 | 0.060569746340097 | 0.0715040263017637 |
| 4 | 0.002723897010 | 0.0066428533577 | 0.013019992581041 | 0.0217028574343981 |
| 5 | 0.000074623766 | 0.0003349846396 | 0.001062856537228 | 0.0026448070626831 |
| 6 | 0.000000535936 | 0.0000056013335 | 0.000032713343713 | 0.0001317764998547 |
| 7 | 0.000000000595 | 0.0000000257459 | 0.000000350083345 | 0.0000025957820839 |
| 8 | 0.000000000000 | 0.0000000000189 | 0.000000001062268 | 0.0000000183384018 |
| 9 | 0.000000000000 | 0.0000000000000 | 0.000000000000525 | 0.0000000000374623 |
| 10 | 0.000000000000 | 0.0000000000000 | 0.000000000000000 | 0.0000000000000126 |
| Total | 0.254251174690 | 0.2395901893490 | 0.227568250402741 | 0.2175053154747310 |
The following two tables are the returns for the Exacta game.
Exacta Returns — Pick 1 to 6
| match | Pick 1 | Pick 2 | Pick 3 | Pick 4 | Pick 5 | Pick 6 |
|---|---|---|---|---|---|---|
| 0 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 |
| 1 | 0.250000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 |
| 2 | 0.000000 | 0.238604 | 0.057758 | 0.045214 | 0.000000 | 0.000000 |
| 3 | 0.000000 | 0.000000 | 0.175198 | 0.104741 | 0.056361 | 0.050559 |
| 4 | 0.000000 | 0.000000 | 0.000000 | 0.090841 | 0.171083 | 0.095286 |
| 5 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.020173 | 0.094297 |
| 6 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.004093 |
| Return | 1.000000 | 0.954414 | 0.931825 | 0.963183 | 0.990464 | 0.976939 |
Exacta Returns — Pick 7 to 10
| Catch | Pick 7 | Pick 8 | Pick 9 | Pick 10 |
|---|---|---|---|---|
| 0 | 0.0000000000 | 0.0000000000 | 0.0000000000 | 0.0000000000 |
| 1 | 0.0000000000 | 0.0000000000 | 0.0000000000 | 0.0000000000 |
| 2 | 0.0000000000 | 0.0000000000 | 0.0000000000 | 0.0000000000 |
| 3 | 0.0612452691 | 0.0000000000 | 0.0000000000 | 0.0000000000 |
| 4 | 0.0490301462 | 0.0332142668 | 0.0390599777 | 0.0434057149 |
| 5 | 0.1096969359 | 0.1641424734 | 0.1201027887 | 0.0661201766 |
| 6 | 0.0263680644 | 0.0411698014 | 0.0634638868 | 0.0658882499 |
| 7 | 0.0002858327 | 0.0024973484 | 0.0172941173 | 0.0648945521 |
| 8 | 0.0000000000 | 0.0000169963 | 0.0005205114 | 0.0045846004 |
| 9 | 0.0000000000 | 0.0000000000 | 0.0000004721 | 0.0000374623 |
| 10 | 0.0000000000 | 0.0000000000 | 0.0000000000 | 0.0000000126 |
| Return | 0.9865049927 | 0.9641635450 | 0.9617670160 | 0.9797230754 |
The probability of hitting the $1,000,000 jackpot on the pick 9 Exacta are 1 in 1,906,298,378,741. Nevada Gaming Control Board regulation 2.070 bears quoting at this moment. "2.070 Jackpot Odds. If the odds of hitting any advertised jackpot that is offered by a gaming device exceeds 100 million to one, the odds of the advertised jackpot must be prominently displayed on the award glass or video display."
However, I don't think this regulation applies, because this is not based on an electronic game.
Combined Odds
The following table shows the expected return of the base game and Exacta according to the number of picks. The weighted return is a weighted average of 8 parts base game and 1 part Exacta.
Exacta Summary
| Number | Base Game Return |
Exacta Return |
Weighted Return |
|---|---|---|---|
| 1 | 75.00% | 100.00% | 77.78% |
| 2 | 72.15% | 95.44% | 74.74% |
| 3 | 76.31% | 93.18% | 78.19% |
| 4 | 78.93% | 96.32% | 80.86% |
| 5 | 74.90% | 99.05% | 77.58% |
| 6 | 74.96% | 97.69% | 77.49% |
| 7 | 71.86% | 98.65% | 74.84% |
| 8 | 72.70% | 96.42% | 75.33% |
| 9 | 74.39% | 96.18% | 76.81% |
| 10 | 74.77% | 97.97% | 77.34% |
Strategy
If the player is going to play a pick 1 to 10 game at the $1 rate at the Orleans anyway, he should also bet the Exacta, which returns between 93% and 100% of the Exacta wager, which is good for live keno. Considering both bets combined, the best bet is on the pick 4, with a weighted return of 80.86%.
Internal Links
- Keno main page
- Keno appendix 1. An analysis of the top/bottom/left/right as as well as edge tickets as played at the Las Vegas Hilton.
- Keno appendix 2. An analysis of Caveman Keno as played on IGT's Game King.
- Keno appendix 3. Probabilities and returns for basic keno at the Atlantic CityTropicana.
- Keno appendix 4. Progressive keno games at the Boyd and Station casinos.
- Keno appendix 5. Nevada numbers, a progressive lottery game at some of the NevadaPark Place casinos.
- Keno appendix 6. Power Keno.
- Keno appendix 7 Super Keno.
- Keno appendix 8. Top Bottom Keno.
- Keno appendix 9. High/Low/Middle Keno: Keno game seen at the Lisboa in Macau.
- Keno appendix 10. Extra Draw Keno.
- Keno appendix 11Jumbo Keno Progressive game at the Station Casinos.
- Keno appendix 12. Triple Trouble Keno.
- Keno appendix 13. Fremont "Super Eight."
- Keno appendix 14. Laughlin keno survey.
- Keno props Miscellaneous keno bets.
- Cleopatra Keno
- Triple Power Keno
- Jackpot Party Keno
- Keno Calculator
- Caveman Keno Plus
Written by:Michael Shackleford
