[PowerHouse]

I was reading ESPN.com i found this on there poker page from Phil Gordon it shows your probability of winning with AA vs. KK. It shows the probability of the hand but it goes onto show what happens if you keep winning with the AA to your probability every time you are up against KK and you have won the previous sequence. I disagree with it after the first hand. It shows KK's gains advantage everytime the AA wins in a game. This is a fallacy because every hand is shuffled and redealt meaning that each hand is an independant trial from the hand before. So by some freek of nature you are dealt back to back KK and someone gets AA, you have still a 18.74% if winning the hand (assuming different suits for your pocket pairs). It would be like saying if you pick the same 5 numbers everytime in the lotto you will win eventually, but that isn't the case you have the same probability every time you buy a ticket because all the balls go back into the machine and are reshuffled.

AA vs. KK
Chance of All In Survival

1 81.26%

2 66.02%

3 53.65%

4 43.59%

5 35.42%

6 28.78%

7 23.39%

8 19.00%

9 15.44%

10 12.55%

11 10.19%

12 8.28%

13 6.73%

14 5.47%