Poker Forum

Over 1,246,000 Posts!

REGISTER
Subscribe to FTR web feed
Already Registered?      Username:    Password:   Remember      Forgot Password

Poker Forum

  > 

Beginners Circle

  > 

Math question, extra credit (semi-lo content)

  
 
LinkBack Thread Tools Display Modes
SonOfAkira
Old 06-21-2006, 11:58 AM     Post subject: Math question, extra credit (semi-lo content) #1 (permalink)  
Straight

Join Date: Jan 2006
Posts: 147
SonOfAkira
So if you play poker long enough you will see every possible scenario, though this one is limited to onine play:

On two tables, at the same time, I am dealt:



They were blue, however. This is incidental.
This is a hand I rank high in terms of the suited 1-gappers (close behind J9s, the uber nuts) and wouldnt mind seeing a cheap multiway flop with, preferably with position. I manage this on both tables (button, CO) and the flop comes down on the first table:



and on the second table:



Weird. I win a small pot on one and a mid-large pot on the other. This is also incidental.
The question is, obviously, what are the odds of this happening, being dealt the exact same hand on two tables at the same time and having the flop come down nearly identical, numbered identically with only one pair being unsuited?
Also, how much more improbable is the the flop being identical, or in the same order (Q, 10, 2)?
Or both hand being dealt in the same position?
Or all of the above?

This isnt an official contest; I won't be sending anybody $5 in their poker stars account (I don't have one), though if I can't figure it when I tackle it tomorrow, maybe i'll think of something; besides, of course, the knowledge being our reward.
Reply With Quote

Play for FREE and practice your game at...

Join the FTR Poker Forum to disable these banners and start posting!
WildBobAA
Old 06-21-2006, 06:17 PM #2 (permalink)  
WildBobAA's Avatar
4-of-a-Kind

Join Date: Aug 2005
Location: lol i dunno
Posts: 1,811
WildBobAA can only hope to improve
Send a message via AIM to WildBobAA
28.9%
 
Reply With Quote
swiggidy
Old 06-21-2006, 06:28 PM #3 (permalink)  
swiggidy's Avatar
4-of-a-Kind

Join Date: Sep 2005
Location: Waiting in the shadows ...
Posts: 3,777
swiggidy will become famous soon enough
Quote:
Originally Posted by WildBobAA
28.9%
I'll take the under
(\__/)
(='.'=)
(")_(")
 
Reply With Quote
johnnyBuz
Old 06-21-2006, 06:48 PM #4 (permalink)  
johnnyBuz's Avatar
Flush

Join Date: Jan 2006
Location: Philly, Pa
Posts: 462
johnnyBuz
Quote:
Originally Posted by WildBobAA
.289%
.0289%
maybe one of those.
Liter of cola.
 
Reply With Quote
pokerroomace
Old 06-21-2006, 06:57 PM #5 (permalink)  
pokerroomace's Avatar
Full House

Join Date: May 2006
Posts: 783
pokerroomace
The odds of being dealt the exact same hand on both tables in any order is 1 in 2,300,000. The same as being dealt a royal flush of spades (or a particular suit) with 5 cards.
http://pokerlife.wordpress.com/
18 years old. short-handed $600NL.
 
Reply With Quote
Pyroxene
Old 06-21-2006, 08:13 PM     Post subject: Re: Math question, extra credit (semi-lo content) #6 (permalink)  
Straight

Join Date: Dec 2004
Posts: 236
Pyroxene
Quote:
Originally Posted by SonOfAkira
The question is...
The odds of a specific table being dealt the exact same two card hand that is in play at another specific table is:

1 in 52!/((50!)*(2!)) or 1 in 1326 (.0754%)

the odds of the same hand happening and then matching the 3 card flop are:

1 in 1326 * 50!/((47!)*(3!)) or 1 in 25,989,600.

the general odds of the same hand happening and then numerically matching the 3 card flop with 2 matching suits and 1 unmatched (and no pairs) are:

1 in 1326 * 50!/((47!)*(54)) or 1 in 2,887,733.3 (the key here is that there are 54 combinations of the same ranks with 2 matching suits and 1 unmatched).

the more specific odds of all that happening and flopping two pair matching your hole cards

1 in 2,887,733.3 * 50!/((47!)*3*3*44*6) or 1 in 142,928,213

Quote:
Originally Posted by pokerroomace
The odds of being dealt the exact same hand on both tables in any order is 1 in 2,300,000. The same as being dealt a royal flush of spades (or a particular suit) with 5 cards.
I want to point out that this is not quite the questsion that was asked. While I agree that the odds of being dealt the same hand on both tables are 1 in 2,598,960 (52!/(47!*5!)), that would match situations where the hole cards on table one are :As: :Ks: and the flop is :Qs: :Js: :Ts: and the hole cards on table 2 are :Ts: :Js: and the flop is :Qs: :Ks: :As:. His question was a bit more specific that the hole cards had to match and then the flop had to match; which, of course, is less likely by a fair amount.
Pyroxene
 
Reply With Quote
SonOfAkira
Old 06-21-2006, 08:19 PM #7 (permalink)  
Straight

Join Date: Jan 2006
Posts: 147
SonOfAkira
Quote:
Originally Posted by WildBobAA
28.9%
Detention, smart-aleck.
Reply With Quote
Monty9
Old 06-21-2006, 08:26 PM #8 (permalink)  
Flush

Join Date: Aug 2005
Location: new jwesey
Posts: 255
Monty9
Not that often??

I had a situation happen to me the other night where I was delt AK on two tables and was beaten and busted out by JJ on both tables.

This reminds me of the question:

If a chicken and a half laid an egg and a half in a day in a half...How long does it take a grasshopper with a wooden leg to kick the seeds out of a dill pickle??
Why is it a penny for your thoughts but
you have to put your 2 cents in??

Somebody's making a penny!!
 
Reply With Quote
swiggidy
Old 06-21-2006, 08:36 PM #9 (permalink)  
swiggidy's Avatar
4-of-a-Kind

Join Date: Sep 2005
Location: Waiting in the shadows ...
Posts: 3,777
swiggidy will become famous soon enough
Quote:
Originally Posted by Monty9
If a chicken and a half laid an egg and a half in a day in a half...How long does it take a grasshopper with a wooden leg to kick the seeds out of a dill pickle??
28.9%
(\__/)
(='.'=)
(")_(")
 
Reply With Quote
Monty9
Old 06-21-2006, 08:46 PM #10 (permalink)  
Flush

Join Date: Aug 2005
Location: new jwesey
Posts: 255
Monty9
Guess it was that obvious.... gg swiggidy
Why is it a penny for your thoughts but
you have to put your 2 cents in??

Somebody's making a penny!!
 
Reply With Quote
pokerroomace
Old 06-21-2006, 08:56 PM     Post subject: Re: Math question, extra credit (semi-lo content) #11 (permalink)  
pokerroomace's Avatar
Full House

Join Date: May 2006
Posts: 783
pokerroomace
Quote:
Originally Posted by Pyroxene
Quote:
Originally Posted by SonOfAkira
The question is...
The odds of a specific table being dealt the exact same two card hand that is in play at another specific table is:

1 in 52!/((50!)*(2!)) or 1 in 1326 (.0754%)

the odds of the same hand happening and then matching the 3 card flop are:

1 in 1326 * 50!/((47!)*(3!)) or 1 in 25,989,600.

the general odds of the same hand happening and then numerically matching the 3 card flop with 2 matching suits and 1 unmatched (and no pairs) are:

1 in 1326 * 50!/((47!)*(54)) or 1 in 2,887,733.3 (the key here is that there are 54 combinations of the same ranks with 2 matching suits and 1 unmatched).

the more specific odds of all that happening and flopping two pair matching your hole cards

1 in 2,887,733.3 * 50!/((47!)*3*3*44*6) or 1 in 142,928,213

Quote:
Originally Posted by pokerroomace
The odds of being dealt the exact same hand on both tables in any order is 1 in 2,300,000. The same as being dealt a royal flush of spades (or a particular suit) with 5 cards.
I want to point out that this is not quite the questsion that was asked. While I agree that the odds of being dealt the same hand on both tables are 1 in 2,598,960 (52!/(47!*5!)), that would match situations where the hole cards on table one are :As: :Ks: and the flop is :Qs: :Js: :Ts: and the hole cards on table 2 are :Ts: :Js: and the flop is :Qs: :Ks: :As:. His question was a bit more specific that the hole cards had to match and then the flop had to match; which, of course, is less likely by a fair amount.
Ye. I didn't think of that. I meant to write 1 in 2.6mil. But it's higher than that as you said, because the two cards in your hands on both tables have to match as well.
http://pokerlife.wordpress.com/
18 years old. short-handed $600NL.
 
Reply With Quote
siknd
Old 06-21-2006, 09:49 PM #12 (permalink)  
siknd's Avatar
Flush

Join Date: Sep 2005
Posts: 359
siknd
the chances might be better than they appear because these calculations are assuming that he is playing ONLY two tables. if hes playing 8, say, then this is hardly remakable. in fact, im suprised it never happened sooner.



i have no superstitions, really, but often when im dealt the same hand simultaneously i think it might be lucky so ill play both. this was fun for awhile, but then it just cost money.

last night i got 98o three times in a row at the same table. boy was i getting bored with that.
'If you think a weakness can be turned into a strength, I hate to tell you this, but that's another weakness. '
 
Reply With Quote
swiggidy
Old 06-22-2006, 12:50 PM #13 (permalink)  
swiggidy's Avatar
4-of-a-Kind

Join Date: Sep 2005
Location: Waiting in the shadows ...
Posts: 3,777
swiggidy will become famous soon enough
 If he is playing 8 tables then there are 8!/(6!*2!) = 8*7/2 = 28

so take 1 in 142,928,213, divide by 28

1 in 5 104 579, I would not call that common
(\__/)
(='.'=)
(")_(")
 
Reply With Quote
Reply
Latest Poker News
KoRnholio Old 05-26-2012, 03:08 PM    Australia Legalized Online Poker coming up in next 6 to 12 Months
According to an email sent out by Mark Bryan, a gaming analyst at Merrill Lynch, the Australian government plans to legalize online poker sometime in the next six to 12 months. This move will coincide ...

« Previous Thread | Next Thread »
Thread Tools
Display Modes
Linear Mode Linear Mode

Posting Rules
You may not post new threads
You may not post replies
You may not post attachments
You may not edit your posts
BB code is On
Smilies are On
[IMG] code is On
HTML code is Off
Trackbacks are On
Pingbacks are On
Refbacks are On


All times are GMT. The time now is 08:58 PM.

Contact Us - Archive - Top

FTR Testimonials

All content
© FlopTurnRiver.com 		Advertising  |   Partners  |   Testimonials  |   T&C  |   Contact Us  |   FTR News & Press  |   Site Map  |   Search FTR

Full Tilt  |   Titan Poker  |   UltimateBet  |   Poker Stars  |   Ladbrokes Bonus  |   Sportsbook  |   Cake Poker  

Play Texas Holdem Online, Online Texas Holdem Strategy, & Poker Forum
This is not a gambling website.