Two Plus Two Older Archives  

Go Back   Two Plus Two Older Archives > General Gambling > Probability

Reply
 
Thread Tools Display Modes
  #1  
Old 12-16-2004, 11:42 PM
Helios Helios is offline
Member
 
Join Date: Nov 2004
Posts: 46
Default Whats the probabilty of floping a suited board?

More specifically if you hold two of one suit what is the chance of hitting at least 2 of that suit on the flop.
Reply With Quote
  #2  
Old 12-16-2004, 11:56 PM
gaming_mouse gaming_mouse is offline
Senior Member
 
Join Date: Oct 2004
Location: my hero is sfer
Posts: 2,480
Default Re: Whats the probabilty of floping a suited board?

4*(13 choose 3)/(52 choose 3)= 0.0517

gm
Reply With Quote
  #3  
Old 12-17-2004, 09:53 AM
chaos chaos is offline
Senior Member
 
Join Date: Sep 2002
Location: NYC
Posts: 370
Default Re: Whats the probabilty of floping a suited board?

Letís say you hold 2 hearts. Then there are 50 cards left and 11 are hearts.

Flopping three hearts:
We compare the number of ways to choose three cards from the remaining hearts to the number of ways to choose three cards from the remainder of the deck.
C(11 3) / C(50, 3) = 165/19600 = 0.8%

Flopping two hearts:
There are C(11, 2) ways to choose two hearts and 39 choices for the non heart.
C(11, 2)*39 / C(52, 3) = (55*39) / 19600 = 10.9%
Reply With Quote
  #4  
Old 12-18-2004, 07:35 PM
Scorpion Man Scorpion Man is offline
Junior Member
 
Join Date: Dec 2004
Posts: 15
Default Re: Whats the probabilty of floping a suited board?

[ QUOTE ]
Letís say you hold 2 hearts. Then there are 50 cards left and 11 are hearts.

Flopping three hearts:
We compare the number of ways to choose three cards from the remaining hearts to the number of ways to choose three cards from the remainder of the deck.
C(11 3) / C(50, 3) = 165/19600 = 0.8%

Flopping two hearts:
There are C(11, 2) ways to choose two hearts and 39 choices for the non heart.
C(11, 2)*39 / C(52, 3) = (55*39) / 19600 = 10.9%

[/ QUOTE ]


not being anal -- just want to be sure i understand -- is the c(52,3) a typo? is it sposed to be 50?
Reply With Quote
  #5  
Old 12-18-2004, 07:50 PM
gaming_mouse gaming_mouse is offline
Senior Member
 
Join Date: Oct 2004
Location: my hero is sfer
Posts: 2,480
Default Re: Whats the probabilty of floping a suited board?

[ QUOTE ]


not being anal -- just want to be sure i understand -- is the c(52,3) a typo? is it sposed to be 50?

[/ QUOTE ]

Yeah, looks like it. If you assume you have 2 hearts in your hand already, the correct calculation uses 50.

gm
Reply With Quote
  #6  
Old 12-21-2004, 09:54 AM
chaos chaos is offline
Senior Member
 
Join Date: Sep 2002
Location: NYC
Posts: 370
Default Re: Whats the probabilty of floping a suited board?

Yes just a typo. It should have read C(50, 3), which is indeed 19600.
Reply With Quote
Reply

Thread Tools
Display Modes

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 10:35 AM.


Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2021, vBulletin Solutions Inc.