by Zmej » Mon Sep 17, 2007 3:47 am
Sorry, but your thought process is fundamentally wrong. Check the notion of Baseyan probability (not sure about the spelling).
The application of that idea to this perticular problem is that you can’t use the probability of having AA preflop for a situation when you get reraised. The probability of our opponent having AA after he reraised is much higher than the probability of him having AA beforehand. Here comes the Basean trick, with the new information we should recalculate the probabilities.
The best way to do that is to estimate his reraising range of an UTG raiser. If we assume a very broad range like {99+, AQ+} for 51 possible combinations (taking into account that we have AK ourselves), we will get the probability of him having AA, p= 3/51, or about 6%. 3 times higher than your estimation! For a more realistic range it will become even higher.
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