Reason #1 why the Wizard likes Bovada:

Excellent customer support

The thing that separates Bovada from the rest is its customer support. Many other online gaming companies outsource their support. It can be difficult getting a response from them, and if you do it is often slow and handled by somebody with little understanding of gambling or even of English. But Bovada’s support is handled by Bovada, and their support staff is actually knowledgeable and helpful.

I’m so confident that you’ll have a good experience with Bovada that if you have a problem getting paid and you can’t resolve it with them on your own, I’ll talk to them myself. I personally have known the Bovada management for about three years and always found them to be professional, friendly, and knowledgeable. I have also personally visited one of their call centers so I could see first-hand how they handle customer issues. (More on my mediation service.)

If you have a problem with any other casino besides Bovada, I can’t help you. I get complaints from players of other online casinos every day who have difficulty getting paid. However that isn’t my job nor my problem. If you play at Bovada after clicking through my site I’ll stand behind you 100%. Any place else and you’re on your own.

Visit Bovada

Keno Props

Last Update: Jun 22, 2006

Following are some miscellaneous keno probabilities. You may find them useful to challenge your friends to some keno props the next time you're in a restaurant with a keno board. First, let me define some terms.

Row: A straight line going side to side, for example the numbers 21 to 30.
Column: A straight line going up and down, for example that covering the numbers 3, 13, 23, 33, 43, 53, 63, and 73.
Density: The probability that the total marks will be a specified number exactly.
Distribution: The probability that the total marks will be a specified number or less.

Maximum Number of Marks in a Row
Marks	Density	Distribution
3	0.04527897	0.04527897
4	0.48940972	0.53468869
5	0.36052029	0.89520898
6	0.09077479	0.98598377
7	0.01288264	0.99886641
8	0.00108385	0.99995027
9	0.0000488	0.99999907
10	0.00000093	1

Marks	Density	Distribution
Maximum Number of Marks in a Column
2	0.00008424	0.00008424
3	0.24679217	0.24687642
4	0.55201679	0.79889321
5	0.17583628	0.97472949
6	0.02362016	0.99834965
7	0.00160675	0.9999564
8	0.0000436	1

Marks	Density	Distribution
Total Empty Rows
0	0.66614523	0.66614523
1	0.30214711	0.96829234
2	0.03096811	0.99926045
3	0.00073693	0.99999739
4	0.00000261	1
5	0	1
6	0	1
7	0	1
8	0	1

Marks	Density	Distribution
Total Empty Columns
0	0.34140772	0.34140772
1	0.45924256	0.80065028
2	0.17561107	0.97626135
3	0.02278398	0.99904534
4	0.00094499	0.99999033
5	0.00000966	0.99999999
6	0.00000001	1
7	0	1
8	0	1
9	0	1
10	0	1

Marks	Density	Distribution
Maximum Marks in Top or Bottom
10	0.20324741	0.20324741
11	0.35762212	0.56086953
12	0.24306014	0.80392966
13	0.12690566	0.93083532
14	0.05038823	0.98122356
15	0.01497834	0.9962019
16	0.00325002	0.99945191
17	0.00049553	0.99994744
18	0.0000496	0.99999704
19	0.00000287	0.99999992
20	0.00000008	1

The next table is for the maximum number of marks that can be contained in any three rows, columns, or any combination of rows and columns. For example the image below shows the most marks in any three columns is 13. There are various ways this could be done, just one of which is circled.

Image courtesy of the Bodog casino.
See why we recommend Bodog.

Marks	Density	Distribution
Maximum Marks in Three Rows and/or Columns
0	0	0
1	0	0
2	0	0
3	0	0
4	0	0
5	0	0
6	0	0
7	0	0
8	0	0
9	0.01002066	0.01002066
10	0.12038178	0.13040245
11	0.33280855	0.46321099
12	0.33627509	0.79948608
13	0.1542072	0.95369328
14	0.03941847	0.99311175
15	0.00619848	0.99931023
16	0.00064619	0.99995642
17	0.00004259	0.99999902
18	0.00000098	1
19	0	1
20	0	1

Next are some even money bets to challenge your friends with. The side listed is the good side. The house edge is how much that side can expect to lose.

Prop	Probability of a Win	House Edge
Even Money Keno Props
No row will have 5 or more hits	53.47%	6.94%
Greatest number of hits in a column will be exactly 4	55.2%	10.4%
Every row to have at least one mark	66.61%	33.23%
Number of empty columns will not be 1	54.08%	8.15%
Top/bottom to have 9 to 11 marks	56.09%	12.17%
3 lines (rows and/or columns) will contain 12 or more marks	53.68%	7.36%

Methodology: The tables above were created by random simulation of at least 500 million games.