Pre-flop probabilities

[sunek]

Hi

I play Texas hold’em and I have been rather unlucky with my pre-flop all-ins lately. I have a few examples where I lost and I would like to know the probability for my loss.

AKs vs. A7o, he caught a 7 so I lost

Here he’s hand is dominated. It is obvious that a 7 will make him win, with 5 cards to come the probability to catch a 7 is 3/48+…+3/44. However it is not enough for him to catch a 7 he should also be sure that I don’t catch a king if he catches a 7. How do I apply this to the probability?

KK vs. 66, he caught a 6 and I lost

Basically the same question as above, except that the villain has only 2 outs this time.

AA against 98s, flopped two pairs so I lost.

I know the probability for flopping two pairs; however in this situation you must count out the chance that I catch an ace.

Best regards

sunek

[closer2313]

The best way is to get a program to evaluate the 1,712,304 board combinations.

www.pokerstove.com (http://www.pokerstove.com)

equity (%) win (%) / tie (%)

Hand 1: 74.8271 % [ 00.73 00.02 ] { AKs }
Hand 2: 25.1729 % [ 00.23 00.02 ] { A7o }

equity (%) win (%) / tie (%)

Hand 1: 80.4922 % [ 00.80 00.00 ] { KK }
Hand 2: 19.5078 % [ 00.19 00.00 ] { 66 }

equity (%) win (%) / tie (%)

Hand 1: 77.9402 % [ 00.78 00.00 ] { AA }
Hand 2: 22.0598 % [ 00.22 00.00 ] { 98s }

[sunek]

Thank you

My opponents chances were better than I expected.

sunek