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Poker Forums => The Rail => Topic started by: The Sweeney on March 02, 2011, 09:26:51 AM



Title: Poker Math Question
Post by: The Sweeney on March 02, 2011, 09:26:51 AM
Can someone please provide a solution and, hopefully, win me a pint. Playing a home game the other night, my friend and I were both dealt AA when heads up. He claimed the odds of this were 48,840 to 1, whilst I believe them to be 270,274 to 1. Who is correct?


Title: Re: Poker Math Question
Post by: Moskvich on March 02, 2011, 09:46:20 AM
270,724 to 1 is the correct answer to a question that you aren't asking and which probably isn't the right question anyway... 1,224 to 1 is the right answer to a better question. Other possible questions would need to factor in stuff like how many hands you played heads-up. Which question are you asking..?  ;)

He's not right though, whatever the question...


Title: Re: Poker Math Question
Post by: kinboshi on March 02, 2011, 09:48:53 AM
50/50 is the correct answer.


Title: Re: Poker Math Question
Post by: TheChipPrince on March 02, 2011, 09:59:38 AM
52/4 /3 x51 /2 x50 /1 x49


Title: Re: Poker Math Question
Post by: The Sweeney on March 02, 2011, 10:03:22 AM
270,724 to 1 is the correct answer to a question that you aren't asking and which probably isn't the right question anyway... 1,224 to 1 is the right answer to a better question. Other possible questions would need to factor in stuff like how many hands you played heads-up. Which question are you asking..?  ;)

He's not right though, whatever the question...

Sorry, to be precise, I am referring to one heads-up hand in isolation, the odds of both players having pocket rockets? Does that help? 1,224 to 1 refers to?


Title: Re: Poker Math Question
Post by: Moskvich on March 02, 2011, 10:21:30 AM
Well the point (which comes up endlessly) is that you only choose to ask the question once you've already noticed that it's happened. So yes the chance of it happening on that hand was 1 in 271k. But you would presumably still have asked the "omg what are the chances" question if it had happened on a different hand in your game, so maybe a better question would be what the chances were of it happening in your game. But then you could extend that to any time you played ever. Which would make the chances much higher again. Or you could ask what the chances were of him having aces once you've already been dealt aces, which is what needs to happen for you to be surprised that he has aces, and that would be only 1,224 to 1.


Title: Re: Poker Math Question
Post by: MereNovice on March 02, 2011, 10:55:48 AM
Can someone please provide a solution and, hopefully, win me a pint. Playing a home game the other night, my friend and I were both dealt AA when heads up. He claimed the odds of this were 48,840 to 1, whilst I believe them to be 270,274 to 1. Who is correct?

As has already been stated you are correct, i.e. before a card is dealt, the odds of two heads-up players both being dealt pocket aces in Texas Hold 'Em (from a standard randomised 52 card deck) is 270,724 to 1.

48,4840 to 1 would be the odds of you being dealt pocket aces on two consecutive hands (before any cards are dealt).


Title: Re: Poker Maths Question
Post by: Jon MW on March 02, 2011, 12:15:37 PM
fyp


Title: Re: Poker Math Question
Post by: gatso on March 02, 2011, 12:40:00 PM
Well the point (which comes up endlessly) is that you only choose to ask the question once you've already noticed that it's happened. So yes the chance of it happening on that hand was 1 in 271k. But you would presumably still have asked the "omg what are the chances" question if it had happened on a different hand in your game, so maybe a better question would be what the chances were of it happening in your game. But then you could extend that to any time you played ever. Which would make the chances much higher again. Or you could ask what the chances were of him having aces once you've already been dealt aces, which is what needs to happen for you to be surprised that he has aces, and that would be only 1,224 to 1.

yeah, this. there's a thread that's about 3000 pages long somewhere with me trying to explain this concept


Title: Re: Poker Math Question
Post by: SuuPRlim on March 04, 2011, 12:06:30 AM
Moskvich yet to see a disappointing post from you lol
 ;topman; :goodpost:
 


Title: Re: Poker Math Question
Post by: Moskvich on March 04, 2011, 01:18:14 AM
Er, thanks lol ... I'm sure there are plenty of shit ones though, maybe just running good. I ain't no thetank...


Title: Re: Poker Math Question
Post by: SuuPRlim on March 04, 2011, 02:07:07 AM
Er, thanks lol ... I'm sure there are plenty of shit ones though, maybe just running good. I ain't no thetank...

no modesty please im sure you'll say something stupid eventually lol just bask in the compliment till then :p


Title: Re: Poker Math Question
Post by: George2Loose on March 04, 2011, 03:02:22 AM
How did the hand play out?


Title: Re: Poker Maths Question
Post by: sovietsong on March 06, 2011, 09:26:01 PM
fyp

this