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# Fire Power Keno

## Introduction

Fire Power is a keno variant I noticed on multi-game machines made by U1. It is the same game as Power Keno, except the multiplier ball is the first drawn, not the last.

The same game is offered by Ace Gaming under the name Shockwave Keno.

## Rules

1. The player chooses 2 to 10 numbers from 1 to 80.
2. The game will randomly choose 20 numbers from the same range of 1 to 80.
3. The player is paid to number of his picks that match the numbers drawn by the game.
4. If the first number drawn is a match then any win will be quadrupled.

The following pay table was observed at the Rampart casino on June 3, 2013, based on a \$2 bet.

### Fire Power Keno — Pay Table

Catch Pick
2 3 4 5 6 7 8 9 10
0 0 0 0 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0 0
2 12.275 2 1 0 0 0 0 0 0
3 0 29.775 4 2 1 1 0 0 0
4 0 0 88.3 12 7 3 2 1 1
5 0 0 0 429 60 12 7 4 3
6 0 0 0 0 519 153 55 16 8
7 0 0 0 0 0 1230 605 230 50
8 0 0 0 0 0 0 3000 1230 307
9 0 0 0 0 0 0 0 4800 1500
10 0 0 0 0 0 0 0 0 6000

The next table shows the probability of each combinations of picks and catches.

### Fire Power Keno — Probability TableExpand

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 0.000000 0.013875 0.043248 0.083935 0.129820 0.174993 0.214786 0.246109 0.267402
4 0.000000 0.000000 0.003063 0.012092 0.028538 0.052191 0.081504 0.114105 0.147319
5 0.000000 0.000000 0.000000 0.000645 0.003096 0.008639 0.018303 0.032601 0.051428
6 0.000000 0.000000 0.000000 0.000000 0.000129 0.000732 0.002367 0.005720 0.011479
7 0.000000 0.000000 0.000000 0.000000 0.000000 0.000024 0.000160 0.000592 0.001611
8 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000004 0.000033 0.000135
9 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000001 0.000006
10 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000
Total 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000

The final table shows the return of each combinations of picks and catches.

### Fire Power Keno — Return TableExpand

Catch Pick
2 3 4 5 6 7 8 9 10
0 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000
1 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000
2 0.959470 0.360759 0.276426 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000
3 0.000000 0.599052 0.250838 0.243412 0.188238 0.253740 0.000000 0.000000 0.000000
4 0.000000 0.000000 0.432796 0.232173 0.319625 0.250517 0.260812 0.182568 0.235710
5 0.000000 0.000000 0.000000 0.484177 0.325042 0.181409 0.224207 0.228210 0.269995
6 0.000000 0.000000 0.000000 0.000000 0.127192 0.212815 0.247322 0.173875 0.174487
7 0.000000 0.000000 0.000000 0.000000 0.000000 0.061531 0.199005 0.278976 0.165142
8 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.028681 0.088195 0.091462
9 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.008170 0.021575
10 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.001683
Total 0.959470 0.959811 0.960060 0.959762 0.960097 0.960011 0.960026 0.959995 0.960055

## Ace Gaming Shockwave Keno

In the interests of brevity, I present only the pay table for Ace Gaming's version of Fire Power Keno, which they call Shockwave Keno. The lower row shows the return.

### Ace Gaming Shockwave Keno

Catch Pick
2 3 4 5 6 7 8 9 10
0
1 1
2 6 1 1
3   35 4 2 1 1
4     74 11 4 2 2 1
5       385 61 10 5 4 1
6         770 200 44 10 14
7           800 770 237 75
8             2000 1100 770
9               2500 1200
10                 2500
Return 90.57% 88.46% 89.00% 89.08% 89.00% 89.01% 89.12% 89.00% 89.04%

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