Interesting Ace King question in holdem

[fireitup123]

This question relates to Ace King in holdem vs. a pocket pair. What are the chances of both of the following occuring:

An ace or king hits on the flop + other opponent flops a set. It might be easier to assume that your oppoent does not have aces or kings in the hand against the ace king.

As an example, your hand is As Kd. Opponent has 6c6h. What's the chance of flopping tptk or better and opponent flopping a set with you.