Extra Draw Keno

Last update: Nov 24, 2007

Extra Draw Keno is a game I noticed at the Red Rock casino on November 23, 2007. It plays like conventional keno, except after the ball draw the player may purchase three more balls for the price of his original wager. The option is not offered if it is an extremely poor bet. The player wins according to the final ball draw, whether he chose the extra balls or not.

Here is the pay table at the Red Rock.

Extra Draw Keno — Pay Table
Catch	Pick 3	Pick 4	Pick 5	Pick 6	Pick 7	Pick 8	Pick 9	Pick 10
0	0	0	0	0	0	0	0	0
1	0	0	0	0	0	0	0	0
2	3	1	1	0	0	0	0	0
3	30	12	4	4	2	1	1	0
4		36	14	7	7	5	3	3
5			100	29	13	10	5	5
6				200	28	15	12	9
7					400	55	30	15
8						800	240	50
9							2000	500
10								2500

Here is the return of the base game, if the extra draw option were not offered.

Extra Draw Keno — Base Game Return Table
Catch	Pick3	Pick4	Pick5	Pick6	Pick7	Pick8	Pick9	Pick10
Catch	Pick 3	Pick 4	Pick 5	Pick 6	Pick 7	Pick 8	Pick 9	Pick 10
0	0	0	0	0	0	0	0	0
1	0	0	0	0	0	0	0	0
2	0.416261	0.212635	0.270457	0	0	0	0	0
3	0.416261	0.518975	0.335740	0.519278	0.349986	0.214786	0.246109	0
4	0	0.110282	0.169293	0.199765	0.365337	0.407519	0.342316	0.441957
5	0	0	0.064492	0.089774	0.112301	0.183026	0.163007	0.257138
6	0	0	0	0.025797	0.020498	0.035501	0.068635	0.103315
7	0	0	0	0	0.009761	0.008825	0.01775	0.024167
8	0	0	0	0	0	0.003477	0.007822	0.006771
9	0	0	0	0	0	0	0.001449	0.003060
10	0	0	0	0	0	0	0	0.000281
Total	0.832522	0.841892	0.839983	0.834614	0.857883	0.853133	0.847088	0.836689

Here is the return from the extra ball draw. A zero indicates that the player should refuse the option.

Extra Draw Keno — Extra Draw Return Table
Catch	Pick3	Pick4	Pick5	Pick6	Pick7	Pick8	Pick9	Pick10
Catch	Pick 3	Pick 4	Pick 5	Pick 6	Pick 7	Pick 8	Pick 9	Pick 10
0	0	0	0	0	0	0	0	0
1	0	0	0	0	0	0	0	0
2	0.048564	0.025949	0	0	0	0	0	0
3	0	0.00865	0.010812	0	0.001943	0.003578	0	0.004673
4	0	0	0.039905	0.041453	0	0.000333	0	0
5	0	0	0	0.023372	0.009546	0	0.017377	0.002149
6	0	0	0	0	0.012885	0.009928	0.015534	0.006199
7	0	0	0	0	0	0.005816	0.013388	0.010301
8	0	0	0	0	0	0	0.002836	0.006314
9	0	0	0	0	0	0	0	0.000606
10	0	0	0	0	0	0	0	0
Total	0.048564	0.034598	0.050717	0.064825	0.024374	0.019656	0.049135	0.030242

The final table shows the total return. You can see the best bet is on the pick 6 at 89.94% return.

Extra Draw Keno — Total Return Table
Catch	Pick 3	Pick 4	Pick 5	Pick 6	Pick 7	Pick 8	Pick 9	Pick 10
Base Game	0.832522	0.841892	0.839983	0.834614	0.857883	0.853133	0.847088	0.836689
Extra Draw	0.048564	0.034598	0.050717	0.064825	0.024374	0.019656	0.049135	0.030242
Total	0.881086	0.876491	0.890699	0.899439	0.882257	0.872789	0.896223	0.866931

Other Keno Pages

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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.

Keno appendix 5 Nevada numbers, a progressive lottery game at some of the Nevada Park Place casinos.

Keno appendix 6 Australian Power Keno.

Keno appendix 7 Super Keno.

Keno appendix 8 Top Bottom Keno.

Keno appendix 9High/Low/Middle Keno: Keno game seen at the Lisboa in Macau.

Keno props Miscellaneous keno bets.

Probabilities in Keno. A lesson in how to calculate keno probabilities.

The Wizard's other sites: Wizard of Vegas, Wizard of Macau, Math Problems The Wizard recommends: The Bear Growls, Casinomeister, Online Casino Suite