Last Updated: March 07, 2006

Keno - special bets like Left/Right/Top/Bottom, and Edge

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Following are some keno variations I've seen around Vegas.

Left/Right/Top/Bottom

The Las Vegas Hilton offers a keno game in which the player chooses an entire half of a card. A ticket costs $5 and the player gets something back if at least 11 numbers fall in his half. The following return table shows a return of 67.53%.

Left/Right/Top/Bottom

Catches Probability Pays Return
11 0.17880619 3 0.10728371
12 0.12153233 5 0.12153233
13 0.06345744 10 0.12691488
14 0.02519634 15 0.07558901
15 0.00748691 50 0.07486911
16 0.00162476 200 0.06499055
17 0.00024798 1000 0.04959533
18 0.00002502 6000 0.03001823
19 0.00000149 80000 0.02376612
20 0.00000004 100000 0.00077983
total 1 0.6753391

Edge

The Las Vegas Hilton offers a keno game in which the player chooses all 32 numbers on the edge of the ticket. A ticket costs $5 and the player gets something back if less 1 to 6 or more than 9 numbers chosen fall in the edge. The following return table shows a return of 55.06%.

Edge

Catches Probability Pays Return
0 0.000004733857 0 0
1 0.000104471317 2000 0.04178853
2 0.001025560093 200 0.0410224
3 0.005954865058 20 0.02381946
4 0.022935534949 10 0.04587107
5 0.062273452467 5 0.06227345
6 0.123631118868 1 0.02472622
7 0.183680519462 0 0
8 0.207278363976 0 0
9 0.179267774249 0 0
10 0.119354597066 1 0.02387092
11 0.061207485675 5 0.06120749
12 0.024100447484 10 0.04820089
13 0.007234655905 25 0.03617328
14 0.001636410264 100 0.03272821
15 0.000274003579 800 0.04384057
16 0.000033082819 7500 0.04962423
17 0.000002767713 25000 0.01383856
18 0.000000150419 50000 0.00150419
19 0.000000004716 65000 0.00006131
20 0.000000000064 100000 0.00000128
total 1 0.55055207

Wynn Extra Million

At the Wynn for 25-cents the player can make an additional bet based on a 5-spot ticket. The bet pays according to the number of catches in the first five balls called. The following pay table shows the probabilities, pays, and return. The lower left cell shows a return of just under 7 cents. The overall return of the game is just under 7/25, or 27.996%. So the house edge is 72.004%!

Wynn Extra Million

Catch Probability Pays Return
0 0.7179442 0 0
1 0.25279725 0 0
2 0.02808858 0.25 0.00702215
3 0.00115433 5 0.00577163
4 0.0000156 1000 0.01559899
5 0.00000004 1000000 0.04159731
Total 1 0.06999007


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