Last Updated: October 31, 2019

# Caveman Keno

## Introduction

Caveman keno is the same as conventional keno except the game chooses three numbers before the draw and if at least two of them match the 20 numbers drawn then the player will win a multiplier.

## Rules

1. The player chooses from two to ten numbers, ranging from 1 to 80, as in regular keno.
2. The computer will draw three three numbers at random among the numbers the player did not pick. These three numbers will be marked with dinosaur eggs.
3. The computer will then draw 20 numbers, ranging from 1 to 80, as in regular keno.
4. The player will win depending in part on the number of the player's picks that match the 20 numbers chosen by the computer, as in regular keno.
5. The player will get a multiplier according to the number of eggs that match the 20-ball draw. The usual multipliers are 1x for 0 or 1 match, 4x for two matches, and either 8x or 10x for three matches. Usually 8x.
6. The player's win will be the product of the win according to the pay table and the multiplier.

## Example

Image used with permission from VideoPoker.com.

In the game above I picked five numbers — 2, 17, 23, 54, and 59. The game then placed eggs on 10, 47, and 62.

The 20-number draw matched two of my picks — 17 and 54. The draw also matched two eggs — 10 and 62.

My ten-credit bet paid 10 credits for catching two out of five. For catching two eggs I won a multiplier of 4x. So, my final win was 4 × 10 = 40 credits.

## Pay Tables

Following are every pay table that I'm aware of.

Pay Table: 1
Multiplier for three eggs: 10
Average return: 88.02%
Maximum return: 89.63% for pick 8

### Pay Table 1

Catch Pick 2 Pick 3 Pick 4 Pick 5 Pick 6 Pick 7 Pick 8 Pick 9 Pick 10
0 - - - - - - - - -
1 1 - - - - - - - -
2 3 2 1 1 - - - - -
3 23 5 2 2 1 1 - -
4 60 4 5 3 2 1 1
5 200 46 12 4 5 4
6 750 225 46 35 9
7 2,000 450 225 80
8 2,000 1,500 400
9 2,000 1,500
10 2,000
Return 83.75% 86.07% 87.79% 88.67% 89.53% 89.62% 89.63% 88.79% 88.29%
Hit frequency 8.64% 1.94% 6.52% 13.67% 4.38% 8.53% 14.25% 5.28% 8.82%

Pay Table: 2
Multiplier for three eggs: 8
Average return: 86.89%
Maximum return: 88.57% for pick 7

### Pay Table 2

Catch Pick 2 Pick 3 Pick 4 Pick 5 Pick 6 Pick 7 Pick 8 Pick 9 Pick 10
0 - - - - - - - - -
1 1 - - - - - - - -
2 3 2 1 1 - - - - -
3 23 5 2 2 1 1 - -
4 60 4 5 3 2 1 1
5 200 46 12 4 5 4
6 750 225 46 35 9
7 2,000 450 225 80
8 2,000 1,500 400
9 2,000 1,500
10 2,000
Return 82.39% 84.86% 86.59% 87.42% 88.43% 88.57% 88.51% 87.88% 87.33%
Hit frequency 8.64% 1.94% 6.52% 13.67% 4.38% 8.53% 14.25% 5.28% 8.82%

Pay Table: 3
Multiplier for three eggs: 8
Average return: 88%
Maximum return: 88.68% for pick 3

### Pay Table 3

Catch Pick 2 Pick 3 Pick 4 Pick 5 Pick 6 Pick 7 Pick 8 Pick 9 Pick 10
0 - - - - - - - - -
1 - - - - - - - - -
2 10 3 1 1 - - - - -
3 14 5 2 2 1 1 - -
4 65 11 6 3 2 1 1
5 75 60 14 5 6 5
6 150 230 62 50 10
7 1,000 90 90 60
8 1,000 250 230
9 1,000 500
10 1,000
Return 86.41% 87.48% 88.68% 88.34% 88.17% 88.30% 88.11% 88.36% 88.20%
Hit frequency 0.00% 1.94% 6.52% 13.67% 4.38% 8.53% 14.25% 5.28% 8.82%

Pay Table: 4
Multiplier for three eggs: 10
Average return: 88.02%
Maximum return: 89.63% for pick 8

### Pay Table 4

Catch Pick 2 Pick 3 Pick 4 Pick 5 Pick 6 Pick 7 Pick 8 Pick 9 Pick 10
0 - - - - - - - - -
1 1 - - - - - - - -
2 3 2 1 1 - - - - -
3 23 5 2 2 1 1 - -
4 60 4 5 3 2 1 1
5 200 46 12 4 5 4
6 750 225 46 35 9
7 2,000 450 225 80
8 2,000 1,500 400
9 2,000 1,500
10 2,000
Return 82.39% 84.86% 86.59% 87.42% 88.43% 88.57% 88.51% 87.88% 87.33%
Hit frequency 8.64% 1.94% 6.52% 13.67% 4.38% 8.53% 14.25% 5.28% 8.82%

Pay Table: 5
Multiplier for three eggs: 10
Average return: 90.05%
Maximum return: 91.64% for pick 5

### Pay Table 5

Catch Pick 2 Pick 3 Pick 4 Pick 5 Pick 6 Pick 7 Pick 8 Pick 9 Pick 10
0 - - - - - - - - -
1 1 - - - - - - - -
2 3 2 1 1 - - - - -
3 24 5 2 2 1 1 - -
4 67 5 5 3 2 1 1
5 215 49 12 4 5 4
6 800 245 48 35 9
7 2,000 500 255 100
8 2,000 1,500 300
9 2,000 1,500
10 2,000
Return 82.39% 86.80% 89.51% 90.37% 90.51% 90.47% 90.15% 90.14% 89.78%
Hit frequency 8.64% 1.94% 6.52% 13.67% 4.38% 8.53% 14.25% 5.28% 8.82%

Pay Table: 6
Multiplier for three eggs: 8
Average return: 89.88%
Maximum return: 90.68% for pick 7

### Pay Table 6

Catch Pick 2 Pick 3 Pick 4 Pick 5 Pick 6 Pick 7 Pick 8 Pick 9 Pick 10
0 - - - - - - - - -
1 - - - - - - - - -
2 10 3 1 1 - - - - -
3 15 5 2 2 1 1 - -
4 69 12 6 3 2 1 1
5 80 65 14 5 6 5
6 150 255 65 50 10
7 1,000 155 105 70
8 1,000 500 250
9 1,000 500
10 1,000
Return 86.41% 89.42% 90.35% 90.43% 90.24% 90.68% 90.36% 90.49% 90.60%
Hit frequency 0.00% 1.94% 6.52% 13.67% 4.38% 8.53% 14.25% 5.28% 8.82%

Pay Table: 7
Multiplier for three eggs: 8
Average return: 91.44%
Maximum return: 92.43% for pick 3

### Pay Table 7

Catch Pick 2 Pick 3 Pick 4 Pick 5 Pick 6 Pick 7 Pick 8 Pick 9 Pick 10
0 - - - - - - - - -
1 - - - - - - - - -
2 10 3 1 1 - - - - -
3 16 5 2 2 1 1 - -
4 74 13 6 3 2 1 1
5 80 70 14 5 6 5
6 150 270 68 50 10
7 1,000 200 125 77
8 1,000 500 250
9 1,000 500
10 1,000
Return 86.41% 91.36% 92.43% 92.09% 92.31% 92.11% 92.20% 92.00% 92.04%
Hit frequency 0.00% 1.94% 6.52% 13.67% 4.38% 8.53% 14.25% 5.28% 8.82%

Pay Table: 8
Multiplier for three eggs: 10
Average return: 92.07%
Maximum return: 93.68% for pick 7

### Pay Table 8

Catch Pick 2 Pick 3 Pick 4 Pick 5 Pick 6 Pick 7 Pick 8 Pick 9 Pick 10
0 - - - - - - - - -
1 1 - - - - - - - -
2 3 2 1 1 - - - - -
3 26 5 2 2 1 1 - -
4 72 6 5 3 2 1 1
5 215 54 13 4 5 4
6 780 255 52 40 10
7 2,000 550 235 100
8 2,000 1,500 325
9 2,000 1,500
10 2,000
Return 82.39% 90.69% 91.60% 92.03% 92.24% 92.59% 92.40% 92.40% 91.72%
Hit frequency 8.64% 1.94% 6.52% 13.67% 4.38% 8.53% 14.25% 5.28% 8.82%

Pay Table: 9
Multiplier for three eggs: 8
Average return: 94.09%
Maximum return: 95.05% for pick 2

### Pay Table 9

Catch Pick 2 Pick 3 Pick 4 Pick 5 Pick 6 Pick 7 Pick 8 Pick 9 Pick 10
0 - - - - - - - - -
1 - - - - - - - - -
2 11 3 1 1 - - - - -
3 17 5 2 2 1 1 - -
4 78 14 6 3 2 1 1
5 85 74 14 5 6 5
6 150 290 74 50 10
7 1,000 200 152 87
8 1,000 500 250
9 1,000 500
10 1,000
Return 95.05% 93.30% 94.10% 94.18% 93.96% 94.01% 94.06% 94.03% 94.10%
Hit frequency 8.64% 1.94% 6.52% 13.67% 4.38% 8.53% 14.25% 5.28% 8.82%

Pay Table: 10
Multiplier for three eggs: 8
Average return: 95.11%
Maximum return: 95.36% for pick 3

### Pay Table 10

Catch Pick 2 Pick 3 Pick 4 Pick 5 Pick 6 Pick 7 Pick 8 Pick 9 Pick 10
0 - - - - - - - - -
1 - - - - - - - - -
2 11 3 1 1 - - - - -
3 18 5 2 2 1 1 - -
4 81 15 6 3 2 1 1
5 75 77 14 5 6 5
6 150 300 77 50 10
7 1,000 200 166 90
8 1,000 500 275
9 1,000 500
10 1,000
Return 95.05% 95.25% 95.36% 94.98% 95.20% 94.96% 94.98% 95.08% 95.14%
Hit frequency 8.64% 1.94% 6.52% 13.67% 4.38% 8.53% 14.25% 5.28% 8.82%

## Analysis

The following table shows the probability of each number of catches according to the number of picks.

### Probabilities in KenoExpand

Catch Pick
2 3 4 5 6 7 8 9 10
0 0.560127 0.416504 0.308321 0.227184 0.166602 0.121574 0.088266 0.063748 0.045791
1 0.379747 0.430867 0.432732 0.405686 0.363495 0.315193 0.266464 0.220666 0.179571
2 0.060127 0.138754 0.212635 0.270457 0.308321 0.326654 0.328146 0.316426 0.295257
3 0.013875 0.043248 0.083935 0.129820 0.174993 0.214786 0.246109 0.267402
4 0.003063 0.012092 0.028538 0.052191 0.081504 0.114105 0.147319
5 0.000645 0.003096 0.008639 0.018303 0.032601 0.051428
6 0.000129 0.000732 0.002367 0.005720 0.011479
7 0.000024 0.000160 0.000592 0.001611
8 0.000004 0.000033 0.000135
9 0.000001 0.000006
10 0.000000

The next table shows the probability of catching two eggs.

### Probability of Catching Two EggsExpand

Catch Pick
2 3 4 5 6 7 8 9 10
0 0.144855 0.148052 0.151351 0.154757 0.158275 0.161908 0.165661 0.169539 0.173548
1 0.132617 0.135584 0.138649 0.141814 0.145085 0.148466 0.151962 0.155577 0.159317
2 0.120669 0.123404 0.126230 0.129152 0.132173 0.135298 0.138531 0.141877 0.145342
3 0.111552 0.114139 0.116816 0.119585 0.122452 0.125419 0.128493 0.131677
4 0.102418 0.104850 0.107368 0.109975 0.112676 0.115475 0.118378
5 0.093299 0.095566 0.097916 0.100352 0.102878 0.105499
6 0.084228 0.086324 0.088498 0.090753 0.093095
7 0.075246 0.077163 0.079153 0.081220
8 0.066398 0.068131 0.069931
9 0.057738 0.059280
10 0.049324

### Probability of Catching Three EggsExpand

Catch Pick
2 3 4 5 6 7 8 9 10
0 0.014985 0.015584 0.016216 0.016883 0.017586 0.018329 0.019115 0.019946 0.020826
1 0.012737 0.013247 0.013784 0.014350 0.014948 0.015580 0.016247 0.016954 0.017702
2 0.010726 0.011155 0.011607 0.012084 0.012588 0.013120 0.013682 0.014277 0.014907
3 0.009296 0.009673 0.010070 0.010490 0.010933 0.011402 0.011897 0.012422
4 0.007966 0.008293 0.008639 0.009004 0.009390 0.009798 0.010230
5 0.006738 0.007019 0.007316 0.007629 0.007961 0.008312
6 0.005615 0.005852 0.006103 0.006369 0.006650
7 0.004598 0.004795 0.005004 0.005225
8 0.003689 0.003849 0.004019
9 0.002887 0.003014
10 0.002192

The next table shows the average multiplier according to the number of picks and catches, assuming a 4x multiplier for two eggs and 8x for three.

### Expected MultiplierExpand

Catch Pick
2 3 4 5 6 7 8 9 10
0 1.539461 1.553247 1.567568 1.582451 1.597927 1.614027 1.630785 1.648237 1.666423
1 1.487013 1.499481 1.512432 1.525894 1.539893 1.554457 1.569618 1.585408 1.601863
2 1.437089 1.448298 1.459943 1.472047 1.484635 1.497733 1.511368 1.525571 1.540373
3 1.399727 1.410128 1.420940 1.432186 1.443887 1.456070 1.468760 1.481988
4 1.363016 1.372603 1.382574 1.392951 1.403756 1.415012 1.426745
5 1.327064 1.335832 1.344958 1.354460 1.364360 1.374680
6 1.291991 1.299939 1.308216 1.316840 1.325831
7 1.257927 1.265057 1.272487 1.280234
8 1.225017 1.231336 1.237925
9 1.193421 1.198940
10 1.163318

## Calculator

Calculate the odds for any Caveman Keno pay table easily with my Caveman Keno calculator.