Two Plus Two Newer Archives  

Go Back   Two Plus Two Newer Archives > General Gambling > Probability
FAQ Community Calendar Today's Posts Search

Reply
 
Thread Tools Display Modes
  #1  
Old 05-30-2007, 03:20 PM
Black winter day Black winter day is offline
Senior Member
 
Join Date: Jun 2005
Location: Don\'t you dare to call!
Posts: 4,420
Default 6 handed, SB vs BB, i hold PP in SB, how often BB has PP too?

So, it's 6handed, everyone is folded to me, i hold a pocket pair in SB.

A)What are the odds (or %) that BB has a pocket pair too?
B)What are the odds (or %) that BB has a pocket pair higher than mine, if i hold 66?

Thanks
Reply With Quote
  #2  
Old 05-30-2007, 05:21 PM
jesse8888 jesse8888 is offline
Senior Member
 
Join Date: May 2007
Location: Missing bets with King high
Posts: 833
Default Re: 6 handed, SB vs BB, i hold PP in SB, how often BB has PP too?

Chances of him having a pocket pair are (48/50)*(3/49) + (2/50)*(1/49).

Thats 48/50ths of the time his first card is not your rank, and when that happens, he pairs it 3/49ths of the time. 2/50ths of the time he gets dealt your rank and when that happens, 1/49th of the time he pairs it.

For all intents and purposes, this number is 1/17 (it's actually just a shade higher...intuitively this makes sense, as your odds of having a pocket pair increase if you remove entire ranks from the deck).

Odds of him having 77 or better:

(32/50)*(3/49)

There are 32 cards left out of 50 that are 7 or higher. Once he gets one, he needs to pair it, which happens 3/49ths of the time.
Reply With Quote
  #3  
Old 05-30-2007, 10:17 PM
UtzChips UtzChips is offline
Senior Member
 
Join Date: Jan 2007
Posts: 800
Default Re: 6 handed, SB vs BB, i hold PP in SB, how often BB has PP too?

What if I am on the Button. What are my chances of one of the Blinds having a pocket pair higher than my 6s?

Is it:

(32/50)*(3/49)+(32/50)*(3/49) ?
Reply With Quote
Reply


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

Forum Jump


All times are GMT -4. The time now is 02:58 AM.


Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2024, vBulletin Solutions Inc.