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Odds of flopping 2 pair or trips

 
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jfletcher
Will work for food


Joined: 24 Aug 2004
Posts: 3160

PostPosted: Tue Nov 20, 2007 1:56 pm    Post subject: Odds of flopping 2 pair or trips Reply with quote

Say you have a hand which you are only going to like if it flops two pair or trips (usually referring to a call on the button in a multiway pot or in the blinds), what are the odds of flopping one of those hands?

Also, I don't know if it's possible to calculate, but can you figure the odds of flopping a straight with connected cards? One-gappers? Two-gappers? How about flopping an OESD? How about a flush or a flush draw with suited cards?

It would be great to generate a little chart for seeing flops with trash cards, based on flopping at least two pair, an OESD or a flush draw. It would go something like this...

Any two, 2 pr or better .... X to 1
Connectors, offsuit, 2 pr or better or OESD, X to 1
Connectors, suited, 2 pr or better or OESD or FD, X to 1
1-gappers, offsuit, 2 pr or better or OESD, X to 1
1-gappers, suited, 2 pr or better or OESD or FD, X to 1

etc...
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jfletcher
Will work for food


Joined: 24 Aug 2004
Posts: 3160

PostPosted: Tue Nov 20, 2007 2:11 pm    Post subject: Reply with quote

OK, starting to answer my own question. I found this site, that told me the chances of flopping 2 pr are 4 percent and the chances of flopping trips are 1.35 percent.

Am I correct then the chances of flopping one or the other are 5.35 percent? Or 19 to 1?

The odds of flopping a flush with suited cards is 0.84 percent and a flush draw is 10.9 percent.

So if you have 8 of Diamonds 3 of Diamonds , are your chances of flopping two pair, trips or a flush draw about 16 percent, or 5 to 1?

Haven't found anything about straights.
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Bugsbunny
Wascally


Joined: 07 Apr 2004
Posts: 7626
Location: Drinking Carrot juice

PostPosted: Tue Nov 20, 2007 6:42 pm    Post subject: Reply with quote

A maximally suited connector (such as TJs) will give you a hand that you want to contimue with (2 pair or better, or a flush draw or an open ended SD or a double gutter) about 25% of the time.

Those calculations are a pain in the butt Smile I've run them, and seen them run by others. I'll see if I can find the breakdown someplace.

Found it here

Those numbers are accurate. Here's the breakdown:
2 pair or trips: 3.47%
If you include hands where there's a pair on the board and you pair the other card, or where you flop 3 of a kind on the board the number goes up to 5.71%

8 out straight draw or 9 out flush draw: 19.1%
straight: 1.29%
flush: .82%
straight flush .02%

That gives a total of: 3.47 + 19.1 + 1.29 + .82 + .02 = 24.7% (I guess my memory isn't failing yet).

Check out the link and follow the other links.

Edit: The archive server appears to be having problems a the moment so you won't be able to follow the links within that post. But the numbers are correct.
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