Originally Posted by Timmah120
What are the odds that your opponent will be dealt KK, AA, or the coin-flip situation, AK?
That's a nice chart with the 3 bet stats above.
Here is the answer to your question specifically.
Odds to be dealt individually...
AA only 220:1 (0.45%)
KK only 220:1 (0.45%)
AK only 81.875:1 (1.21%)
AA, KK, or AK 46.357:1 (2.11%)
More relevant to the question is how likely is an opponent at the table to be dealt KK or AA which depends on the number of opponents.
I'm not sure how the calculation for that works so I can only give you this answer from a table
Probability of facing KK or AA when holding QQ
against 5 opponents 0.0484 (4.84%)
against 8 opponents 0.0766 (7.66%)
Given that AK is over twice as likely to be dealt as AA and KK combined I would guess that you can roughly double these probabilities to include AK.
As you can see, the occurrence of premium hands going against one another is significant especially in a cash game where you can wait as long as you want.
If you are curious the probability of facing KK AND AA when holding QQ is
against 5 opponents 0.00091 (0.091%)
against 8 opponents 0.00220 (0.220%)
(I included this because it happened to me in a tournament two days ago )