Same suit dominated odd? - Beginning Poker Questions

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Same suit dominated odd?

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03-24-2014 , 03:24 PM

Vinyl_Pimp

journeyman

Join Date: Jul 2013 Posts: 294

What are the chances of a suited Kx running into a player same suited Ax in head up, 4, 6, 8 and 9 handed? Then the chances to flop, turn or river a flush?

Many thanks in advance.

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03-24-2014 , 03:43 PM

Dunna100

Accept No Substitute

Join Date: Nov 2011 Posts: 6,168

I used to have a couple of charts on this but deleted them ages ago.

Just google it, you'll find what you need I'm sure. Try 'poker odds of flopping a flush' or something similar

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03-24-2014 , 03:47 PM

Vinyl_Pimp

journeyman

Join Date: Jul 2013 Posts: 294

I have tried but have found in-conclusive results, best one so far http://www.cardschat.com/f13/odds-fl...erflush-94585/

But it mentions nothing about 6 handed.

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03-24-2014 , 04:02 PM

Dunna100

Accept No Substitute

Join Date: Nov 2011 Posts: 6,168

Had a quick look, and this was the site I was thinking of (although prob doesn't answer what you want):
http://poker-odds.flopturnriver.com/

Includes some odds for flopping flushes and draws etc. Other than that I can't help, sorry, but Google will have an answer somewhere I'm pretty sure

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03-24-2014 , 04:09 PM

statmanhal

Pooh-Bah

Join Date: Jan 2009 Posts: 5,038

There is one ace of the suit remaining and 10 others of the suit.

For n Players; Pr(Ax of same suit) = n*C(1,1)*C(10,1)/C(50,2)

Pr = n*10/1225

For n = 6, Pr = 60/1225 = 4.9%

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03-24-2014 , 04:33 PM

statmanhal

Pooh-Bah

Join Date: Jan 2009 Posts: 5,038

Quote:

Originally Posted by Vinyl_Pimp

What are the chances of a suited Kx running into a player same suited Ax in head up, 4, 6, 8 and 9 handed? Then the chances to flop, turn or river a flush?

Many thanks in advance.

Given you have Kx suited and villain has Ax of same suit,

For flopping a flush,
Pr = C(9,3)/C(48,3) = 0.49%

For a flush BY the turn
Pr = [C(9,4) + C(9,3)*C(39,1)]/C(48,4) = 1.75%

For a flush BY the river
Pr =[C(9,5) + C(9,4)*C(39,1) + C(9,3)*C(39,2)]/C(48,5) = 3.93%

For a flush ON the turn,Pr = 1.75% - 0.49% = 1.26%

For flush ON the river, Pr = 3.93% - 1.75% = 2.18%

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03-25-2014 , 07:11 AM

Vinyl_Pimp

journeyman

Join Date: Jul 2013 Posts: 294

Thank you so much!

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