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View Full Version : Whats the probabilty of floping a suited board?


Helios
12-16-2004, 11:42 PM
More specifically if you hold two of one suit what is the chance of hitting at least 2 of that suit on the flop.

gaming_mouse
12-16-2004, 11:56 PM
4*(13 choose 3)/(52 choose 3)= 0.0517

gm

chaos
12-17-2004, 09:53 AM
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%

Scorpion Man
12-18-2004, 07:35 PM
[ 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?

gaming_mouse
12-18-2004, 07:50 PM
[ 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

chaos
12-21-2004, 09:54 AM
Yes just a typo. It should have read C(50, 3), which is indeed 19600.