No limit probability question
Join Date: Jun 2014
Posts: 1,447
Tried looking this up online but couldnt find it. And my math skills are not that great anymore or I'd figure it out on my own.
Anyway, say I have AA and someone else has QQ and we get it all in preflop. What are the odds that the person with the QQ getting a Queen high straight to beat me? No other hands have been shown.
An additional question. What are the odds of them getting either a queen, king, or ace high straight to beat me?
Please include the math so I can see if I was anywhere near close to trying to figuring this out on my own. Thanks!
Last edited by thedude404; 12-18-2018 at 03:35 AM.
Join Date: Sep 2011
Posts: 273
Just count the number of boards giving QQ a Q-high straight. For first, try to figure out how many possible boards you can get (hint: there are 48 unseen cards and a board is made of 5 cards). Next, think about what kind of flops you are looking for. Basically, there are two types:
89TJX - where X is one of 2,3,4,5,6,7,A (a K gives QQ a K-high straight and a Q is a split pot)
89TJS - where S is one of 8,9,T,J (do you see why I made two separate groups?).
Count how many flops you might have for each type above.
Finally, subtract the flops of the types above that might give AA a flush.
Once you get your tally, divide by the total number of possible boards and you are done.