Last Updated: March 15, 2013

# Caveman Keno Plus

### On This Page

## Introduction

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 chooses 2 to 10 numbers from 1 to 80.
- When the player is done, the game randomly picks three of the remaining 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. There is no multiplier for zero or one hatched eggs.
- 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.

The following pay table was observed at the Red Rock casino in Las Vegas on March 21, 2012.

### Caveman Keno Plus Base Pay Table

Catch | Pick | ||||||||
---|---|---|---|---|---|---|---|---|---|

2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 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 | 1,000 | 200 | 120 | 60 | |||||

8 | 2,000 | 500 | 250 | ||||||

9 | 2,000 | 1,000 | |||||||

10 | 2,000 |

## Analysis

This was a complicated game to analyze, so forgive me if I don't break down the details of the calculations. Instead, I would like to boil down the effect of the multipliers and extra balls with the following effective multipliers. The actual value of initially catching any number of balls is the product of the base win in the pay table and the effective multiplier.

For example, normally catching 5 out of 7 pays 10. The multiplication factor for catching 5 out of 7 is 1.889191. Thus the average value of catching 5 out of 7 after the initial ball draw is 10×1.889191 = 18.891914.

### Caveman Keno Plus Effective Multipliers

Catch | Pick | ||||||||
---|---|---|---|---|---|---|---|---|---|

2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | |

0 | 1.568432 | 1.582857 | 1.597838 | 1.600894 | 1.629582 | 1.646408 | 1.663917 | 1.682145 | 1.701133 |

1 | 1.578571 | 1.526597 | 1.540162 | 1.421096 | 1.568910 | 1.584150 | 1.600010 | 1.616523 | 1.633727 |

2 | 1.461223 | 1.742794 | 1.713860 | 1.600362 | 1.511070 | 1.524793 | 1.539074 | 1.553946 | 1.569441 |

3 | 1.422037 | 1.748871 | 1.566541 | 1.942363 | 1.741648 | 1.646076 | 1.494459 | 1.508323 | |

4 | 1.383499 | 1.808542 | 1.984938 | 1.684706 | 1.577105 | 1.625618 | 1.733488 | ||

5 | 1.345724 | 1.537548 | 1.889191 | 1.762929 | 1.771741 | 2.082030 | |||

6 | 1.308836 | 1.480567 | 1.755390 | 1.822426 | 1.846242 | ||||

7 | 1.272976 | 1.441355 | 1.410382 | 1.493494 | |||||

8 | 1.238296 | 1.291845 | 1.348855 | ||||||

9 | 1.204969 | 1.224260 | |||||||

10 | 1.173182 |

The next nine tables show the return for pick 2 to 10 games according to the Red Rock pay table.

### Caveman Keno Plus Pick 2

Catch | Pays | Multiplier | Probability | Return |
---|---|---|---|---|

0 | 0 | 1.568432 | 0.560127 | 0.000000 |

1 | 1 | 1.578571 | 0.379747 | 0.599458 |

2 | 3 | 1.461223 | 0.060127 | 0.263575 |

Total | 1.000000 | 0.863033 |

### Caveman Keno Plus Pick 3

Catch | Pays | Multiplier | Probability | Return |
---|---|---|---|---|

0 | 0 | 1.582857 | 0.416504 | 0.000000 |

1 | 0 | 1.526597 | 0.430867 | 0.000000 |

2 | 2 | 1.742794 | 0.138754 | 0.483638 |

3 | 20 | 1.422037 | 0.013875 | 0.394626 |

Total | 1.000000 | 0.878264 |

### Caveman Keno Plus Pick 4

Catch | Pays | Multiplier | Probability | Return |
---|---|---|---|---|

0 | 0 | 1.597838 | 0.308321 | 0.000000 |

1 | 0 | 1.540162 | 0.432732 | 0.000000 |

2 | 1 | 1.713860 | 0.212635 | 0.364427 |

3 | 4 | 1.748871 | 0.043248 | 0.302540 |

4 | 50 | 1.383499 | 0.003063 | 0.211910 |

Total | 1.000000 | 0.878877 |

### Caveman Keno Plus Pick 5

Catch | Pays | Multiplier | Probability | Return |
---|---|---|---|---|

0 | 0 | 1.603437 | 0.227184 | 0.000000 |

1 | 0 | 1.449046 | 0.405686 | 0.000000 |

2 | 1 | 1.600362 | 0.270457 | 0.432830 |

3 | 2 | 1.566541 | 0.083935 | 0.262975 |

4 | 5 | 1.808542 | 0.012092 | 0.109348 |

5 | 88 | 1.345724 | 0.000645 | 0.076374 |

Total | 1.000000 | 0.881527 |

### Caveman Keno Plus Pick 6

Catch | Pays | Multiplier | Probability | Return |
---|---|---|---|---|

0 | 0 | 1.629582 | 0.166602 | 0.000000 |

1 | 0 | 1.568910 | 0.363495 | 0.000000 |

2 | 0 | 1.511070 | 0.308321 | 0.000000 |

3 | 1 | 1.942363 | 0.129820 | 0.252157 |

4 | 5 | 1.984938 | 0.028538 | 0.283230 |

5 | 55 | 1.537548 | 0.003096 | 0.261783 |

6 | 500 | 1.308836 | 0.000129 | 0.084410 |

Total | 1.000000 | 0.881580 |

### Caveman Keno Plus Pick 7

Catch | Pays | Multiplier | Probability | Return |
---|---|---|---|---|

0 | 0 | 1.646408 | 0.121574 | 0.000000 |

1 | 0 | 1.584150 | 0.315193 | 0.000000 |

2 | 0 | 1.524793 | 0.326654 | 0.000000 |

3 | 1 | 1.741648 | 0.174993 | 0.304777 |

4 | 3 | 1.684706 | 0.052191 | 0.263779 |

5 | 10 | 1.889191 | 0.008639 | 0.163198 |

6 | 110 | 1.480567 | 0.000732 | 0.119228 |

7 | 1000 | 1.272976 | 0.000024 | 0.031064 |

Total | 1.000000 | 0.882045 |

### Caveman Keno Plus Pick 8

Catch | Pays | Multiplier | Probability | Return |
---|---|---|---|---|

0 | 0 | 1.663917 | 0.088266 | 0.000000 |

1 | 0 | 1.600010 | 0.266464 | 0.000000 |

2 | 0 | 1.539074 | 0.328146 | 0.000000 |

3 | 1 | 1.646076 | 0.214786 | 0.353554 |

4 | 2 | 1.577105 | 0.081504 | 0.257080 |

5 | 4 | 1.762929 | 0.018303 | 0.129065 |

6 | 20 | 1.755390 | 0.002367 | 0.083090 |

7 | 200 | 1.441355 | 0.000160 | 0.046255 |

8 | 2000 | 1.238296 | 0.000004 | 0.010762 |

Total | 1.000000 | 0.879806 |

### Caveman Keno Plus Pick 9

Catch | Pays | Multiplier | Probability | Return |
---|---|---|---|---|

0 | 0 | 1.682145 | 0.063748 | 0.000000 |

1 | 0 | 1.616523 | 0.220666 | 0.000000 |

2 | 0 | 1.553946 | 0.316426 | 0.000000 |

3 | 0 | 1.494459 | 0.246109 | 0.000000 |

4 | 2 | 1.625618 | 0.114105 | 0.370983 |

5 | 4 | 1.771741 | 0.032601 | 0.231046 |

6 | 15 | 1.822426 | 0.005720 | 0.156352 |

7 | 120 | 1.410382 | 0.000592 | 0.100139 |

8 | 500 | 1.291845 | 0.000033 | 0.021052 |

9 | 2000 | 1.204969 | 0.000001 | 0.001745 |

Total | 1.000000 | 0.881317 |

### Caveman Keno Plus Pick 10

Catch | Pays | Multiplier | Probability | Return |
---|---|---|---|---|

0 | 0 | 1.701133 | 0.045791 | 0.000000 |

1 | 0 | 1.633727 | 0.179571 | 0.000000 |

2 | 0 | 1.569441 | 0.295257 | 0.000000 |

3 | 0 | 1.508323 | 0.267402 | 0.000000 |

4 | 1 | 1.733488 | 0.147319 | 0.255376 |

5 | 2 | 2.082030 | 0.051428 | 0.214148 |

6 | 10 | 1.846242 | 0.011479 | 0.211937 |

7 | 60 | 1.493494 | 0.001611 | 0.144374 |

8 | 250 | 1.348855 | 0.000135 | 0.045665 |

9 | 1000 | 1.224260 | 0.000006 | 0.007493 |

10 | 2000 | 1.173182 | 0.000000 | 0.000263 |

Total | 1.000000 | 0.879257 |

The final table shows the overall return according to the number of balls picked. The highest return is the pick-7 at 88.20%.

### Caveman Keno Plus Summary

Pick | Return |
---|---|

2 | 86.30% |

3 | 87.83% |

4 | 87.89% |

5 | 88.15% |

6 | 88.16% |

7 | 88.20% |

8 | 87.98% |

9 | 88.13% |

10 | 87.93% |

Finally, here is another more liberal pay table. The return is in the bottom row.

### Caveman Keno Plus Base Pay Table 2

Catch | Pick | ||||||||
---|---|---|---|---|---|---|---|---|---|

2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 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 | 1,000 | 250 | 125 | 60 | |||||

8 | 2,000 | 500 | 250 | ||||||

9 | 2,000 | 1,000 | |||||||

10 | 2,000 | ||||||||

Return | 86.30% | 90.22% | 90.15% | 90.29% | 89.93% | 90.13% | 90.18% | 89.88% | 90.13% |

## Acknowledgements

The Wizard would like to thank Wizard of Vegas forum member CrystalMath for confirming my results on this game.