Combinatorics: how many hands have at least one suited ace in them?

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Combinatorics: how many hands have at least one suited ace in them?

I had a quick look on PPT and can't figure out how to input this.

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IbexTiller 11 years, 5 months ago

Axx is fine and 16.95%. This includes all AA and AAA combo's. If you want all unpaired Axx combo's add $np so:

Axx$np 12.03% of all hands


OMGredline 11 years, 5 months ago

OK, I understand now.  I'm asking because I play all suited aces without trips on the button, and wanted to know how much of my range on the button would be made up of these hands.


IbexTiller 11 years, 5 months ago

Just to be clear

Axx - 16.95% hands includes suited AA and AAA combo's

Axx$np - 12.03% no AA or AAA combo's

Axx$nt - 16.84% no AAA combo's

arukidinme 11 years, 5 months ago

That is interesting, just started to use PPT again but I would have thought that the Ax would restrict my results to a suited ace not an Ace and any flush draw.

arukidinme 11 years, 5 months ago

Correct which is why I thought that Ax:xx would translate to Ax(a suit) :(and) xx(two of a suit).  But I guess in PQL it assumes Ax(any suit) and xx(two of any suit).  I know that this is not a bug but I think that once we use x, it should be a suit, not any suit. In math when we use variables you should be able to solve for them.  If you asked me to list all Ax:xx hands and write out all hands where x=spades would expect me to write Ad2s5s8c?

jonna102 11 years, 5 months ago

I agree this is confusing.  Intuitively, one would think that Ax:xx would mean the same thing as Axx, but it doesn't.  It means the same thing as A:xx though.  Apparently suit variables (wxyz) are not remembered when combining two hand ranges (using ':' for example).

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