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Pair + FD vs Overpair, Math question Pair + FD vs Overpair, Math question

03-10-2022 , 09:55 AM
We all know it's essentially a coin flip, what I didn't know was: if your two pair outs are under their overpair, you are a dog, if your outs are over their over pair, you are a favorite. Why is this?

Forget all backdoor draws. Say a flop like 45J
J10 49.8% vs QQ 50.2%

But instead if you have K10 you're now 51.62%

From the messing around I've done, whenever you have an overcard to their overpair, your same 2 pair outs gain 1.82% equity, and I'm not sure why?

We have 14 outs in both scenarios.
Pair + FD vs Overpair, Math question Quote
03-10-2022 , 09:58 AM
the difference to me looks like when you spike your king in the second instance, he has less redraw outs. if you hit a ten in the first instance, he's got six 4's/5's to improve to a better two pair than you have
Pair + FD vs Overpair, Math question Quote
03-10-2022 , 05:44 PM
if board pairs the higher PP automatically has best 2p
Pair + FD vs Overpair, Math question Quote
03-10-2022 , 09:22 PM
I'm pretty sure OP meant Kh Jh for the revised hero holding
Pair + FD vs Overpair, Math question Quote
03-10-2022 , 11:04 PM
Quote:
Originally Posted by statmanhal
I'm pretty sure OP meant Kh Jh for the revised hero holding
whoops yea.
Pair + FD vs Overpair, Math question Quote
03-11-2022 , 11:09 AM
Quote:
Originally Posted by Mr.Jones
We all know it's essentially a coin flip, what I didn't know was: if your two pair outs are under their overpair, you are a dog, if your outs are over their over pair, you are a favorite. Why is this?

Forget all backdoor draws. Say a flop like 45J
J10 49.8% vs QQ 50.2%

But instead if you have K10 you're now 51.62%

From the messing around I've done, whenever you have an overcard to their overpair, your same 2 pair outs gain 1.82% equity, and I'm not sure why?

We have 14 outs in both scenarios.
Re: the bolded: Never ignore back door draws. They add to your equity.

That said, the opposite is often true for overcard outs, which must be discounted for your opponent having a match to one of your overcards (e.g. You have QJ on a AJx flop. Your opponent raised pre, so AQ is in his range, so you have to discount your Q outs)
Pair + FD vs Overpair, Math question Quote

      
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