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Last Updated: October 31, 2019

# Keno Appendix 12 — Triple Trouble Keno

## Introduction

Triple Trouble Keno is a keno variant I noticed at the Suncoast in May 2008. In addition to the regular keno game, the player will get zero to three devils. If the player gets three devils, then he will win three credits, plus three free tripled free games. If the player gets three devils in a free game, then he will win an extra nine credits. The probability of three devils is 2%.

The following pay table was observed at the Suncoast.

### Triple Trouble Keno Pay Table

Pick Catch
0 1 2 3 4 5 6 7 8 9 10
2 0 0 12 0 0 0 0 0 0 0 0
3 0 0 1 42 0 0 0 0 0 0 0
4 0 0 1 5 96 0 0 0 0 0 0
5 0 0 0 1 10 805 0 0 0 0 0
6 1 0 0 0 4 76 1600 0 0 0 0
7 1 0 0 0 1 22 405 2500 0 0 0
8 1 0 0 0 1 8 58 1600 2500 0 0
9 1 0 0 0 1 3 40 255 2000 2500 0
10 1 0 0 0 0 2 24 110 800 2000 2500

The next table shows the probability for each event in the base game. This would be the same as in conventional keno.

### Triple Trouble Keno Probability TableExpand

Pick Catch
0 1 2 3 4 5 6 7 8 9 10
2 0.560127 0.379747 0.060127 0 0 0 0 0 0 0 0
3 0.416504 0.430867 0.138754 0.013875 0 0 0 0 0 0 0
4 0.308321 0.432732 0.212635 0.043248 0.003063 0 0 0 0 0 0
5 0.227184 0.405686 0.270457 0.083935 0.012092 0.000645 0 0 0 0 0
6 0.166602 0.363495 0.308321 0.12982 0.028538 0.003096 0.000129 0 0 0 0
7 0.121574 0.315193 0.326654 0.174993 0.052191 0.008639 0.000732 0.000024 0 0 0
8 0.088266 0.266464 0.328146 0.214786 0.081504 0.018303 0.002367 0.00016 0.00000435 0 0
9 0.063748 0.220666 0.316426 0.246109 0.114105 0.032601 0.00572 0.000592 0.00003259 0.00000072 0
10 0.045791 0.179571 0.295257 0.267402 0.147319 0.051428 0.011479 0.001611 0.00013542 0.00000612 0.00000011

The next table shows the return for each type of win in the base game. This would be the same for regular keno, with this pay table.

### Triple Trouble Keno Return Table

Pick Catch
0 1 2 3 4 5 6 7 8 9 10 Total
2 0 0 0.721519 0 0 0 0 0 0 0 0 0.721519
3 0 0 0.138754 0.582765 0 0 0 0 0 0 0 0.721519
4 0 0 0.212635 0.216239 0.294086 0 0 0 0 0 0 0.722961
5 0 0 0 0.083935 0.120923 0.519164 0 0 0 0 0 0.724023
6 0.166602 0 0 0 0.114152 0.235269 0.206376 0 0 0 0 0.722398
7 0.121574 0 0 0 0.052191 0.190047 0.296491 0.061006 0 0 0 0.72131
8 0.088266 0 0 0 0.081504 0.146421 0.137269 0.256728 0.010864 0 0 0.721052
9 0.063748 0 0 0 0.114105 0.097804 0.228782 0.150878 0.065185 0.001811 0 0.722313
10 0.045791 0 0 0 0 0.102855 0.275505 0.177226 0.108335 0.012241 0.000281 0.722235

The next pay table shows the return for the regular game, bonus, and the total. This table shows the best bet is the pick 5 with a return of 92.51%.

### Triple Trouble Keno Summary

Pick Base Game Bonus Total
2 0.721519 0.200673 0.922192
3 0.721519 0.200673 0.922192
4 0.722961 0.200933 0.923893
5 0.724023 0.201124 0.925147
6 0.722398 0.200832 0.923229
7 0.721310 0.200636 0.921946
8 0.721052 0.200589 0.921642
9 0.722313 0.200816 0.923130
10 0.722235 0.200802 0.923037

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