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.
