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.
Rules
The player makes a bet and chooses 2 to 10 numbers from 1 to 80.
When the player is done, the game randomly picks three of the unpicked numbers and marks them with eggs.
The game will then randomly pick 20 numbers from 1 to 80.
The player's base prize will pay according to how many of the balls drawn by the game match those chosen by the player.
If the game chooses a number with an egg, then that egg will hatch.
If exactly two eggs hatch, then any win will be multiplied by 4. If all three eggs hatch, then any win will be multiplied by 8.
If at least two eggs hatch AND the player already has a winning card based on the pay table, then the game will draw three extra balls, possibly resulting in a larger base prize if these three balls match any of the player's chosen numbers.
In the event the player wins the extra three balls with two eggs, and one of the extra balls matches the third egg, then the multiplier will go from 4 to 8.
The final award will be the product of the base prize and multiplier.
Pay Tables
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.
Pay Table 1Expand
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.
Pay Table 2Expand
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.
Pay Table 3Expand
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.
Pay Table 4Expand
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.
Pay Table 5Expand
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%
Analysis
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.
Pick 5 Pay Table
Catch
Pays
5
110
4
5
3
2
2
1
1
0
0
0
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%.
Pick 5 Detailed Return TableExpand
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.
Summarized Return
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.
