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.g    Keno Appendix 6
Last Update: January 4, 2004

Power Keno is a game found in Australia. The rules are the same as regular keno except if the player catches the 20th ball drawn then any winnings are quadrupled. The 20th ball drawn also counts as a catch if it does match. For example the regular win for catching 3 on a pick 3 is 26, however if the 20th ball drawn is one of the player's three numbers then the player will win 26*4=104.

Following is the base pay table. This is what the player wins if he doesn't catch the 20th ball.

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 11 2 1 0 0 0 0 0 0
3 0 26 5 2 1 1 0 0 0
4 0 0 61 20 5 2 2 1 1
5 0 0 0 230 65 14 7 4 2
6 0 0 0 0 500 140 41 20 7
7 0 0 0 0 0 1250 600 150 45
8 0 0 0 0 0 0 2500 1000 500
9 0 0 0 0 0 0 0 3750 1750
10 0 0 0 0 0 0 0 0 5000

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

Catch Pick
2 3 4 5 6 7 8 9 10
0 0.56012658 0.41650438 0.30832143 0.22718421 0.16660175 0.12157425 0.08826624 0.06374784 0.0457907
1 0.37974684 0.4308666 0.43273183 0.40568609 0.36349473 0.31519251 0.26646411 0.22066559 0.17957138
2 0.06012658 0.13875365 0.21263547 0.27045739 0.30832143 0.32665405 0.32814562 0.31642614 0.29525678
3 0 0.01387537 0.04324789 0.08393505 0.12981955 0.17499324 0.21478623 0.24610922 0.26740237
4 0 0 0.00306339 0.01209234 0.02853792 0.05219097 0.0815037 0.11410518 0.1473189
5 0 0 0 0.00064492 0.00309564 0.0086385 0.01830259 0.03260148 0.05142769
6 0 0 0 0 0.00012898 0.00073208 0.00236671 0.00571956 0.01147939
7 0 0 0 0 0 0.0000244 0.00016046 0.00059168 0.00161114
8 0 0 0 0 0 0 0.00000435 0.00003259 0.00013542
9 0 0 0 0 0 0 0 0.00000072 0.00000612
10 0 0 0 0 0 0 0 0 0.00000011
Total 1 1 1 1 1 1 1 1 1

The next table shows the return of each number of picks and catches. The bottom row is the total return of the game. The body of the table is the payoff*probability*(1+3*(catches/20))

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 0.85981013 0.36075949 0.27642611 0 0 0 0 0 0
3 0 0.52310127 0.31354721 0.24341165 0.18823834 0.2537402 0 0 0
4 0 0 0.29898709 0.38695482 0.22830334 0.16701109 0.26081184 0.18256829 0.23571024
5 0 0 0 0.25958219 0.35212888 0.21164337 0.22420667 0.22821036 0.17999691
6 0 0 0 0 0.12253569 0.1947324 0.18436699 0.2173432 0.15267595
7 0 0 0 0 0 0.06253155 0.19735985 0.18194111 0.14862795
8 0 0 0 0 0 0 0.02390113 0.0717034 0.14896129
9 0 0 0 0 0 0 0 0.00638269 0.02517117
10 0 0 0 0 0 0 0 0 0.00140265
Total 0.85981013 0.88386076 0.88896041 0.88994866 0.89120626 0.88965861 0.8906465 0.88814906 0.89254615

The bottom row shows the overall return is about 89%, with the best return on the pick-10 at 89.25%.

Other Keno Links

Go back to keno.
Keno appendix 1 features an analysis of the top/bottom/left/right as as well as edge tickets as played at the Las Vegas Hilton.
Keno appendix 2 features an analysis of Caveman Keno as played on IGT's Game King.
Keno appendix 1 features an analysis of the top/bottom/left/right as as well as edge tickets as played at the Las Vegas Hilton.
Keno appendix 2 features an analysis of Caveman Keno as played on IGT's Game King.
Keno appendix 3 probabilities and returns for basic keno at the Atlantic City Tropicana.
Keno appendix 4 progressive keno at the Orleans. Learn when the meter is high enough to have a positive expectation.

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