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Introduction
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.
Pay Tables
Following are some common pay tables for Cleopatra Keno. The return is in the bottom row.
Pay Table 1
| Catch | Pick 3 | Pick 4 | Pick 5 | Pick 6 | Pick 7 | Pick 8 | Pick 9 | Pick 10 |
|---|---|---|---|---|---|---|---|---|
| 0 | 0 | - | - | - | - | - | - | - |
| 1 | 0 | - | - | - | - | - | - | - |
| 2 | 3 | 1 | - | - | - | - | - | - |
| 3 | 19 | 5 | 3 | 2 | 1 | - | - | - |
| 4 | 0 | 45 | 24 | 5 | 3 | 3 | 2 | 1 |
| 5 | 0 | 240 | 42 | 7 | 10 | 5 | 3 | |
| 6 | 0 | 410 | 118 | 65 | 12 | 5 | ||
| 7 | 0 | 500 | 250 | 108 | 35 | |||
| 8 | 0 | 1,000 | 200 | 206 | ||||
| 9 | 0 | 1,000 | 1,000 | |||||
| 10 | 0 | 2,000 | ||||||
| Return | 94.03% | 95.25% | 95.05% | 95.03% | 95.07% | 95.09% | 95.04% | 95.02% |
Pay Table 2
| Catch | Pick 3 | Pick 4 | Pick 5 | Pick 6 | Pick 7 | Pick 8 | Pick 9 | Pick 10 |
|---|---|---|---|---|---|---|---|---|
| 0 | 0 | - | - | - | - | - | - | - |
| 1 | 0 | - | - | - | - | - | - | - |
| 2 | 3 | 1 | - | - | - | - | - | - |
| 3 | 19 | 5 | 3 | 2 | 1 | - | - | - |
| 4 | 0 | 43 | 24 | 5 | 3 | 3 | 2 | 1 |
| 5 | 0 | 230 | 40 | 7 | 10 | 5 | 3 | |
| 6 | 0 | 410 | 111 | 65 | 12 | 5 | ||
| 7 | 0 | 500 | 210 | 100 | 35 | |||
| 8 | 0 | 1,000 | 200 | 175 | ||||
| 9 | 0 | 1,000 | 1,000 | |||||
| 10 | 0 | 2,000 | ||||||
| Return | 94.03% | 94.22% | 94.17% | 94.03% | 94.08% | 94.12% | 94.19% | 94.13% |
Pay Table 3
| Catch | Pick 3 | Pick 4 | Pick 5 | Pick 6 | Pick 7 | Pick 8 | Pick 9 | Pick 10 |
|---|---|---|---|---|---|---|---|---|
| 0 | 0 | - | - | - | - | - | - | - |
| 1 | 0 | - | - | - | - | - | - | - |
| 2 | 3 | 1 | - | - | - | - | - | - |
| 3 | 18 | 5 | 3 | 2 | 1 | - | - | - |
| 4 | 0 | 39 | 23 | 5 | 3 | 3 | 2 | 1 |
| 5 | 0 | 225 | 37 | 7 | 10 | 5 | 3 | |
| 6 | 0 | 390 | 97 | 60 | 10 | 5 | ||
| 7 | 0 | 500 | 200 | 100 | 30 | |||
| 8 | 0 | 1,000 | 200 | 160 | ||||
| 9 | 0 | 1,000 | 1,000 | |||||
| 10 | 0 | 2,000 | ||||||
| Return | 92.11% | 92.16% | 92.08% | 92.10% | 92.09% | 92.08% | 92.14% | 92.00% |
Pay Table 4
| Catch | Pick 3 | Pick 4 | Pick 5 | Pick 6 | Pick 7 | Pick 8 | Pick 9 | Pick 10 |
|---|---|---|---|---|---|---|---|---|
| 0 | 0 | - | - | - | - | - | - | - |
| 1 | 0 | - | - | - | - | - | - | - |
| 2 | 3 | 1 | - | - | - | - | - | - |
| 3 | 17 | 5 | 3 | 2 | 1 | - | - | - |
| 4 | 0 | 35 | 22 | 5 | 3 | 3 | 2 | 1 |
| 5 | 0 | 220 | 34 | 6 | 10 | 5 | 3 | |
| 6 | 0 | 375 | 95 | 56 | 10 | 5 | ||
| 7 | 0 | 500 | 180 | 80 | 25 | |||
| 8 | 0 | 1,000 | 200 | 150 | ||||
| 9 | 0 | 1,000 | 1,000 | |||||
| 10 | 0 | 2,000 | ||||||
| Return | 90.19% | 90.10% | 89.99% | 90.28% | 90.14% | 90.15% | 90.02% | 90.01% |
Pay Table 5
| Catch | Pick 3 | Pick 4 | Pick 5 | Pick 6 | Pick 7 | Pick 8 | Pick 9 | Pick 10 |
|---|---|---|---|---|---|---|---|---|
| 0 | 0 | - | - | - | - | - | - | - |
| 1 | 0 | - | - | - | - | - | - | - |
| 2 | 3 | 1 | - | - | - | - | - | - |
| 3 | 16 | 5 | 3 | 2 | 1 | - | - | - |
| 4 | 0 | 31 | 21 | 5 | 3 | 3 | 2 | 1 |
| 5 | 0 | 220 | 30 | 6 | 10 | 5 | 3 | |
| 6 | 0 | 375 | 80 | 50 | 10 | 5 | ||
| 7 | 0 | 500 | 180 | 65 | 25 | |||
| 8 | 0 | 1,000 | 200 | 100 | ||||
| 9 | 0 | 1,000 | 1,000 | |||||
| 10 | 0 | 2,000 | ||||||
| Return | 88.27% | 88.04% | 88.34% | 88.27% | 88.01% | 87.99% | 88.44% | 88.58% |
Analysis
This section shall analyze Pay Table 4 above.
The next table shows the number of combinations for each possible number of picks and catches.
Cleopatra Keno — CombinationsExpand
| 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 WinningExpand
| 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 ReturnExpand
| 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 ProbabilityExpand
| 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 |
The next table shows the return for each combinations of picks and catches, according to Pay Table 1 above.
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.
Calculator
Calculate the odds for any pay table with my Cleopatra Keno calculator.