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fizzx
High Card
Joined: 20 Aug 2008
Posts: 4
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 Posted: Fri Oct 30, 2009 4:59 am Post subject: Anyone know the odds of |
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odds of AA vs QQ in a 6 handed ring game?  |
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fletch_smf
Message Board Junkie
Joined: 06 Jun 2008
Posts: 3529
Location: Brisneyland
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| Posted: Fri Oct 30, 2009 5:03 am Post subject: |
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An opponent will have a specific PP about 5 times in 221. Or approx every 44th time you have AA, someone will have QQ & vice versa.
Assuming you meant the chances of those hands being dealt to you and someone else, yeah? |
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fizzx
High Card
Joined: 20 Aug 2008
Posts: 4
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| Posted: Fri Oct 30, 2009 5:37 am Post subject: |
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| I mean like those exact hands. not like pocket pair of pocket pair. Thanks for replying |
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muzmund
Royal Flush
Joined: 25 Jan 2007
Posts: 737
Location: Rakeback Wilderness, England
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| Posted: Fri Oct 30, 2009 5:55 am Post subject: Re: Anyone know the odds of |
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| fizzx wrote: |
| odds of AA vs QQ in a 6 handed ring game? |
Text results appended to pokerstove.txt
61,642,944 games 0.016 secs 3,852,684,000 games/sec
Board:
Dead:
equity win tie pots won pots tied
Hand 0: 81.547% 81.33% 00.22% 50134104 133902.00 { AA }
Hand 1: 18.453% 18.24% 00.22% 11241036 133902.00 { QQ } |
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Pete D
Pistol Pete
Joined: 28 Sep 2006
Posts: 1716
Location: California
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| Posted: Fri Oct 30, 2009 5:55 am Post subject: |
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Odds of being dealt a specific pocket pair = 4/52* 3/51 = 1/221
Odds of no one having AA in a 6-handed game = (220/221)^6 = 97.32%
Odds of at least one person having AA = 1 - 0.9732 = 0.0268
If someone has AA, odds that no one has QQ = (220/221)^5 = 0.9776
Odds that someone else has QQ = 1 - 0.9776 = 0.0224
Odds that someone has AA and someone else has QQ = 0.0268 x 0.0224 = 0.06% ~ 1 in 1,660 hands |
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