# A different Keno odds question

**URL:** <https://boards.straightdope.com/t/a-different-keno-odds-question/814082>\
**Category:** Factual Questions\
**Created:** [May 13, 2018, 4:39am UTC](https://boards.straightdope.com/t/a-different-keno-odds-question/814082 "2018-05-13T04:39:04Z")\
**Posts on this page:** 3\
**Page:** 1

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**Author:** ![mixdenny](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/mixdenny/32/2962_2.png) [@mixdenny](https://boards.straightdope.com/u/mixdenny)\
**Post date:** [May 13, 2018, 4:39am UTC](https://boards.straightdope.com/t/a-different-keno-odds-question/814082/1 "2018-05-13T04:39:04Z")

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I don’t gamble at all but Keno is always playing in the sports bars so I idly watch. 80 numbers, they draw 20. Those 20 numbers can be grouped as low numbers (1 to 40) or high numbers (41 to 80).

When the results are in I notice that they are seldom evenly split between the groups (10 low and 10 high), they seem more often to favor one side or the other by a number or 2.

So what are the odds of each occurring: more low, more high (obviously those two are the same odds) or evenly split low and high?

Dennis

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**Author:** ![septimus](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/septimus/32/410_2.png) [@septimus](https://boards.straightdope.com/u/septimus)\
**Post date:** [May 13, 2018, 5:17am UTC](https://boards.straightdope.com/t/a-different-keno-odds-question/814082/2 "2018-05-13T05:17:46Z")

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0 0.0000039%  
1 0.0001485%  
2 0.0025015%  
3 0.0247977%  
4 0.1624764%  
5 0.7486911%  
6 2.5196337%  
7 6.3457440%  
8 12.153233%  
9 17.880619%  
10 20.324303%  
11 17.880619%  
12 12.153233%  
13 6.3457440%  
14 2.5196337%  
15 0.7486911%  
16 0.1624764%  
17 0.0247977%  
19 0.0025015%  
19 0.0001485%  
20 0.0000039%

The chance of a 4-differential (8-12 or 12-8) is 24.3% (12.15% + 12.15%), more than the chance of a 10-10 split (20.3%)

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**Author:** ![Johnny\_L.A](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/johnny_l.a/32/1084_2.png) [@Johnny\_L.A](https://boards.straightdope.com/u/Johnny_L.A)\
**Post date:** [May 13, 2018, 5:25am UTC](https://boards.straightdope.com/t/a-different-keno-odds-question/814082/3 "2018-05-13T05:25:17Z")

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**True story:** My dad was in a diner at the Hilton in Laughlin. He picked up a pamphlet entitled _How To Win $100,000 Playing Keno_ as soon as he sat down at the table. He followed the directions in the pamphlet and played his first card. He won $100,000.

Normally he would pass the time playing keno as long as he was eating. This time he stopped gambling for the rest of the visit.
