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Cleopatra Keno
Last Update: Jan 03, 2009
Cleopatra Keno is a video keno variant in which the player wins 12 free games if the last ball drawn contributes to a player win. All wins in free games are doubled. Free games do not earn additional free games.
The following pay table was taken from a $1/$2 game at the New York New York casino in Las Vegas.
| Cleopatra Keno — NYNY Pay Table |
| Catch | 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 |
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 2 | 3 | 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| 3 | 17 | 5 | 3 | 2 | 1 | 0 | 0 | 0 |
| 4 | 0 | 35 | 22 | 5 | 3 | 3 | 2 | 1 |
| 5 | 0 | 0 | 220 | 34 | 6 | 10 | 5 | 3 |
| 6 | 0 | 0 | 0 | 375 | 95 | 56 | 10 | 5 |
| 7 | 0 | 0 | 0 | 0 | 500 | 180 | 80 | 25 |
| 8 | 0 | 0 | 0 | 0 | 0 | 1000 | 200 | 150 |
| 9 | 0 | 0 | 0 | 0 | 0 | 0 | 1000 | 1000 |
| 10 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2000 |
The next table shows the number of combinations for each possible number of picks and catches.
| Cleopatra Keno — Combinations |
| Catch | Pick 3 | Pick 4 | Pick 5 | Pick 6 | Pick 7 | Pick 8 | Pick 9 | Pick 10 |
| 0 | 34220 | 487635 | 5461512 | 50063860 | 386206920 | 2558620845 | 14783142660 | 75394027566 |
| 1 | 35400 | 684400 | 9752700 | 109230240 | 1001277200 | 7724138400 | 51172416900 | 295662853200 |
| 2 | 11400 | 336300 | 6501800 | 92650650 | 1037687280 | 9512133400 | 73379314800 | 486137960550 |
| 3 | 1140 | 68400 | 2017800 | 39010800 | 555903900 | 6226123680 | 57072800400 | 440275888800 |
| 4 | 0 | 4845 | 290700 | 8575650 | 165795900 | 2362591575 | 26461025640 | 242559401700 |
| 5 | 0 | 0 | 15504 | 930240 | 27442080 | 530546880 | 7560293040 | 84675282048 |
| 6 | 0 | 0 | 0 | 38760 | 2325600 | 68605200 | 1326367200 | 18900732600 |
| 7 | 0 | 0 | 0 | 0 | 77520 | 4651200 | 137210400 | 2652734400 |
| 8 | 0 | 0 | 0 | 0 | 0 | 125970 | 7558200 | 222966900 |
| 9 | 0 | 0 | 0 | 0 | 0 | 0 | 167960 | 10077600 |
| 10 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 184756 |
| Total | 82160 | 1581580 | 24040016 | 300500200 | 3176716400 | 28987537150 | 231900297200 | 1646492110120 |
The next table shows the probability for each possible number of picks and catches, before considering the bonus.
| Cleopatra Keno — Probability of Winning |
| Catch | Pick 3 | Pick 4 | Pick 5 | Pick 6 | Pick 7 | Pick 8 | Pick 9 | Pick 10 |
| 0 | 0.41650438 | 0.30832143 | 0.22718421 | 0.16660175 | 0.12157425 | 0.08826624 | 0.06374784 | 0.0457907 |
| 1 | 0.4308666 | 0.43273183 | 0.40568609 | 0.36349473 | 0.31519251 | 0.26646411 | 0.22066559 | 0.17957138 |
| 2 | 0.13875365 | 0.21263547 | 0.27045739 | 0.30832143 | 0.32665405 | 0.32814562 | 0.31642614 | 0.29525678 |
| 3 | 0.01387537 | 0.04324789 | 0.08393505 | 0.12981955 | 0.17499324 | 0.21478623 | 0.24610922 | 0.26740237 |
| 4 | 0 | 0.00306339 | 0.01209234 | 0.02853792 | 0.05219097 | 0.0815037 | 0.11410518 | 0.1473189 |
| 5 | 0 | 0 | 0.00064492 | 0.00309564 | 0.0086385 | 0.01830259 | 0.03260148 | 0.05142769 |
| 6 | 0 | 0 | 0 | 0.00012898 | 0.00073208 | 0.00236671 | 0.00571956 | 0.01147939 |
| 7 | 0 | 0 | 0 | 0 | 0.0000244 | 0.00016046 | 0.00059168 | 0.00161114 |
| 8 | 0 | 0 | 0 | 0 | 0 | 0.00000435 | 0.00003259 | 0.00013542 |
| 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0.00000072 | 0.00000612 |
| 10 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0.00000011 |
| Total | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
The next table shows the contribution to the return for each possible number of picks and catches, before considering the bonus.
| Cleopatra Keno — Before Bonus Return |
| Catch | 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 |
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 2 | 0.41626095 | 0.21263547 | 0 | 0 | 0 | 0 | 0 | 0 |
| 3 | 0.23588121 | 0.21623946 | 0.25180516 | 0.2596391 | 0.17499324 | 0 | 0 | 0 |
| 4 | 0 | 0.10721873 | 0.26603144 | 0.14268959 | 0.1565729 | 0.2445111 | 0.22821036 | 0.1473189 |
| 5 | 0 | 0 | 0.14188343 | 0.10525171 | 0.05183103 | 0.18302586 | 0.1630074 | 0.15428306 |
| 6 | 0 | 0 | 0 | 0.04836935 | 0.06954728 | 0.13253596 | 0.05719558 | 0.05739697 |
| 7 | 0 | 0 | 0 | 0 | 0.01220128 | 0.02888193 | 0.04733427 | 0.04027858 |
| 8 | 0 | 0 | 0 | 0 | 0 | 0.00434566 | 0.00651849 | 0.0203129 |
| 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0.00072428 | 0.00612065 |
| 10 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0.00022442 |
| Total | 0.65214216 | 0.53609365 | 0.65972003 | 0.55594975 | 0.46514573 | 0.59330052 | 0.50299039 | 0.42593549 |
The next table shows the probability of winning the bonus for each possible number of picks and catches, before considering the bonus.
| Cleopatra Keno — Bonus Probability |
| Catch | 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 |
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 2 | 0.01387537 | 0.02126355 | 0 | 0 | 0 | 0 | 0 | 0 |
| 3 | 0.0020813 | 0.00648718 | 0.01259026 | 0.01947293 | 0.02624899 | 0 | 0 | 0 |
| 4 | 0 | 0.00061268 | 0.00241847 | 0.00570758 | 0.01043819 | 0.01630074 | 0.02282104 | 0.02946378 |
| 5 | 0 | 0 | 0.00016123 | 0.00077391 | 0.00215963 | 0.00457565 | 0.00815037 | 0.01285692 |
| 6 | 0 | 0 | 0 | 0.0000387 | 0.00021962 | 0.00071001 | 0.00171587 | 0.00344382 |
| 7 | 0 | 0 | 0 | 0 | 0.00000854 | 0.00005616 | 0.00020709 | 0.0005639 |
| 8 | 0 | 0 | 0 | 0 | 0 | 0.00000174 | 0.00001304 | 0.00005417 |
| 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0.00000033 | 0.00000275 |
| 10 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0.00000006 |
| Total | 0.01595667 | 0.02836341 | 0.01516996 | 0.02599312 | 0.03907497 | 0.0216443 | 0.03290772 | 0.0463854 |
| Cleopatra Keno — Return |
| Pick |
Return Before Bonus |
Bonus Return |
Total Return |
| 3 | 0.652142 | 0.249744 | 0.901887 |
| 4 | 0.536094 | 0.364931 | 0.901024 |
| 5 | 0.659720 | 0.240190 | 0.899910 |
| 6 | 0.555950 | 0.346821 | 0.902771 |
| 7 | 0.465146 | 0.436213 | 0.901359 |
| 8 | 0.593301 | 0.308198 | 0.901498 |
| 9 | 0.502990 | 0.397254 | 0.900245 |
| 10 | 0.425935 | 0.474172 | 0.900108 |
So, the bottom line is that this particular pay table returns 90% of money bet.

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