Post deleted by Mat Sklansky

[NickMPK]

It (1/221) (the chance you have kings) * (4/50)(3/49) (the chance your opponent has kings given there are 50 cards left in the deck.

Which works out to just over 1/45,000.

[mykey1961]

if we assume you've already looked at your cards and see the KK, then your opponent has a 6/1225 (approx 1/204) chance of having AA.

If you haven't looked at your cards yet, then the odds are 6/1326*6/1225 = approx 1/45121