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Caveman Keno Plus is a keno variant I noticed on a Game King machine at the Red Rock casino in Las Vegas on March 21, 2012. It plays like regular keno, except it adds the possibility of multipliers and extra balls. Of course, the cost for that is a lower base pay table.
Let me get right to what you want to know. The following tables show pay tables for Caveman Keno Plus. The bottom row shows the expected return for each number of picks for that pay table. The tables are organzied from lowest to highest returns.
Pay Table 1 has a maximum return of 88.20% for a pick 7.
Catch | 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 |
1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
2 | 3 | 2 | 1 | 1 | 0 | 0 | 0 | 0 | 0 |
3 | 20 | 4 | 2 | 1 | 1 | 1 | 0 | 0 | |
4 | 50 | 5 | 5 | 3 | 2 | 2 | 1 | ||
5 | 88 | 55 | 10 | 4 | 4 | 2 | |||
6 | 500 | 110 | 20 | 15 | 10 | ||||
7 | 1000 | 200 | 120 | 60 | |||||
8 | 2000 | 500 | 250 | ||||||
9 | 2000 | 1000 | |||||||
10 | 2000 | ||||||||
Return | 86.30% | 87.83% | 87.89% | 88.15% | 88.16% | 88.20% | 87.98% | 88.13% | 87.93% |
Pay Table 2 has a maximum return of 90.29% for a pick 5.
Catch | 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 |
1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
2 | 3 | 2 | 1 | 1 | 0 | 0 | 0 | 0 | 0 |
3 | 21 | 4 | 2 | 1 | 1 | 1 | 0 | 0 | |
4 | 54 | 5 | 5 | 3 | 2 | 2 | 1 | ||
5 | 105 | 58 | 11 | 4 | 4 | 2 | |||
6 | 500 | 112 | 21 | 16 | 11 | ||||
7 | 1000 | 250 | 125 | 60 | |||||
8 | 2000 | 500 | 250 | ||||||
9 | 2000 | 1000 | |||||||
10 | 2000 | ||||||||
Return | 86.30% | 90.22% | 90.15% | 90.29% | 89.93% | 90.13% | 90.18% | 89.88% | 90.13% |
Pay Table 3 has a maximum return of 91.16% for a pick 7.
Catch | 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 |
1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
2 | 3 | 2 | 1 | 1 | 0 | 0 | 0 | 0 | 0 |
3 | 21 | 4 | 2 | 1 | 1 | 1 | 0 | 0 | |
4 | 55 | 5 | 5 | 3 | 2 | 2 | 1 | ||
5 | 110 | 60 | 12 | 4 | 4 | 2 | |||
6 | 500 | 108 | 22 | 17 | 11 | ||||
7 | 1000 | 108 | 125 | 63 | |||||
8 | 1000 | 500 | 250 | ||||||
9 | 2000 | 1000 | |||||||
10 | 2000 | ||||||||
Return | 86.30% | 90.22% | 90.71% | 90.91% | 91.11% | 91.16% | 84.73% | 90.99% | 91.14% |
Pay Table 4 has a maximum return of 92.19% for a pick 7.
Catch | 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 |
1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
2 | 3 | 2 | 1 | 1 | 0 | 0 | 0 | 0 | 0 |
3 | 21 | 4 | 2 | 1 | 1 | 1 | 0 | 0 | |
4 | 57 | 6 | 6 | 3 | 2 | 2 | 1 | ||
5 | 100 | 53 | 13 | 4 | 4 | 2 | |||
6 | 500 | 104 | 25 | 18 | 12 | ||||
7 | 1000 | 250 | 125 | 59 | |||||
8 | 2000 | 500 | 250 | ||||||
9 | 2000 | 1000 | |||||||
10 | 2000 | ||||||||
Return | 86.30% | 90.22% | 91.84% | 91.85% | 91.89% | 92.19% | 92.07% | 92.11% | 92.00% |
Pay Table 5 has a maximum return of 94.25% for a pick 5.
Catch | 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 |
1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
2 | 3 | 2 | 1 | 1 | 0 | 0 | 0 | 0 | 0 |
3 | 22 | 4 | 2 | 1 | 1 | 1 | 0 | 0 | |
4 | 61 | 6 | 6 | 3 | 2 | 2 | 1 | ||
5 | 118 | 57 | 14 | 5 | 4 | 2 | |||
6 | 500 | 106 | 22 | 19 | 12 | ||||
7 | 1000 | 250 | 132 | 65 | |||||
8 | 2000 | 500 | 250 | ||||||
9 | 2000 | 1000 | |||||||
10 | 2000 | ||||||||
Return | 86.30% | 92.60% | 94.10% | 94.11% | 94.25% | 94.11% | 94.05% | 94.10% | 94.02% |
This game was a bit complicated to analyze. In the interests of brevity, I will show my analysis for a pick-5 game only. For the purposes of example, I will use the following pay table.
The next table shows the number of combinations for all possible outcomes. An 'n/a' denotes a situation where the player did not early the three extra balls. The bottom right cell shows a return of 90.81%.
Orig. Catch | Orig. Eggs | Extra Catch | Extra Eggs | Win | Combinations | Probability | Return |
---|---|---|---|---|---|---|---|
0 | 0 | n/a | n/a | 0 | 143,282,767,320 | 0.088266 | 0.000000 |
0 | 1 | n/a | n/a | 0 | 162,206,906,400 | 0.099924 | 0.000000 |
0 | 2 | n/a | n/a | 0 | 57,072,800,400 | 0.035158 | 0.000000 |
0 | 3 | n/a | n/a | 0 | 6,226,123,680 | 0.003835 | 0.000000 |
1 | 0 | n/a | n/a | 0 | 270,344,844,000 | 0.166540 | 0.000000 |
1 | 1 | n/a | n/a | 0 | 285,364,002,000 | 0.175792 | 0.000000 |
1 | 2 | n/a | n/a | 0 | 93,391,855,200 | 0.057532 | 0.000000 |
1 | 3 | n/a | n/a | 0 | 9,450,366,300 | 0.005822 | 0.000000 |
2 | 0 | n/a | n/a | 1 | 190,242,668,000 | 0.117195 | 0.117195 |
2 | 1 | n/a | n/a | 1 | 186,783,710,400 | 0.115064 | 0.115064 |
3 | 0 | n/a | n/a | 2 | 62,261,236,800 | 0.038355 | 0.076709 |
3 | 1 | n/a | n/a | 2 | 56,702,197,800 | 0.034930 | 0.069860 |
4 | 0 | n/a | n/a | 5 | 9,450,366,300 | 0.005822 | 0.029108 |
4 | 1 | n/a | n/a | 5 | 7,958,203,200 | 0.004902 | 0.024512 |
5 | 0 | n/a | n/a | 110 | 530,546,880 | 0.000327 | 0.035952 |
5 | 1 | n/a | n/a | 110 | 411,631,200 | 0.000254 | 0.027893 |
2 | 2 | 0 | 0 | 4 | 45,931,762,800 | 0.028295 | 0.113181 |
2 | 2 | 0 | 1 | 8 | 2,551,764,600 | 0.001572 | 0.012576 |
2 | 3 | 0 | 0 | 8 | 4,536,470,400 | 0.002795 | 0.022357 |
2 | 2 | 1 | 0 | 8 | 7,655,293,800 | 0.004716 | 0.037727 |
2 | 2 | 1 | 1 | 16 | 278,374,320 | 0.000171 | 0.002744 |
2 | 3 | 1 | 0 | 16 | 742,331,520 | 0.000457 | 0.007317 |
2 | 2 | 2 | 0 | 20 | 278,374,320 | 0.000171 | 0.003430 |
2 | 2 | 2 | 1 | 40 | 4,970,970 | 0.000003 | 0.000122 |
2 | 3 | 2 | 0 | 40 | 26,511,840 | 0.000016 | 0.000653 |
2 | 2 | 3 | 0 | 440 | 1,656,990 | 0.000001 | 0.000449 |
2 | 3 | 3 | 0 | 880 | 155,040 | 0.000000 | 0.000084 |
3 | 2 | 0 | 0 | 8 | 13,609,411,200 | 0.008384 | 0.067070 |
3 | 2 | 0 | 1 | 16 | 742,331,520 | 0.000457 | 0.007317 |
3 | 3 | 0 | 0 | 16 | 1,237,219,200 | 0.000762 | 0.012195 |
3 | 2 | 1 | 0 | 20 | 1,484,663,040 | 0.000915 | 0.018292 |
3 | 2 | 1 | 1 | 40 | 53,023,680 | 0.000033 | 0.001307 |
3 | 3 | 1 | 0 | 40 | 132,559,200 | 0.000082 | 0.003266 |
3 | 2 | 2 | 0 | 440 | 26,511,840 | 0.000016 | 0.007186 |
3 | 2 | 2 | 1 | 880 | 465,120 | 0.000000 | 0.000252 |
3 | 3 | 2 | 0 | 880 | 2,325,600 | 0.000001 | 0.001261 |
4 | 2 | 0 | 0 | 20 | 1,855,828,800 | 0.001143 | 0.022865 |
4 | 2 | 0 | 1 | 40 | 99,419,400 | 0.000061 | 0.002450 |
4 | 3 | 0 | 0 | 40 | 154,652,400 | 0.000095 | 0.003811 |
4 | 2 | 1 | 0 | 440 | 99,419,400 | 0.000061 | 0.026948 |
4 | 2 | 1 | 1 | 880 | 3,488,400 | 0.000002 | 0.001891 |
4 | 3 | 1 | 0 | 880 | 8,139,600 | 0.000005 | 0.004413 |
5 | 2 | 0 | 0 | 440 | 92,791,440 | 0.000057 | 0.025151 |
5 | 2 | 0 | 1 | 880 | 4,883,760 | 0.000003 | 0.002648 |
5 | 3 | 0 | 0 | 880 | 7,054,320 | 0.000004 | 0.003824 |
Total | 1,623,302,080,400 | 1.000000 | 0.909080 |
If the table above was too much information, here is the same kind of thing but summarizing each possible total win.
Win | Combinations | Probability | Return |
---|---|---|---|
880 | 26,511,840 | 0.000016 | 0.014372 |
440 | 220,379,670 | 0.000136 | 0.059734 |
110 | 942,178,080 | 0.000580 | 0.063845 |
40 | 471,137,490 | 0.000290 | 0.011609 |
20 | 3,618,866,160 | 0.002229 | 0.044586 |
16 | 3,000,256,560 | 0.001848 | 0.029572 |
8 | 28,352,940,000 | 0.017466 | 0.139730 |
5 | 17,408,569,500 | 0.010724 | 0.053621 |
4 | 45,931,762,800 | 0.028295 | 0.113181 |
2 | 118,963,434,600 | 0.073285 | 0.146570 |
1 | 377,026,378,400 | 0.232259 | 0.232259 |
0 | 1,027,339,665,300 | 0.632870 | 0.000000 |
Total | 1,623,302,080,400 | 1.000000 | 0.909080 |
It can be easily see from the table above that the player wins nothing 63.3% of the time, meaning the hit frequency is 36.7%. The variance can be easily calculated as 49.32, so the standard deviation is 7.02.
To analyze any Caveman Keno Plus pay table, please make use of my Caveman Keno Plus Calculator.
The Wizard would like to thank Wizard of Vegas forum member CrystalMath for confirming my results on this game.