Math Help - Probability approach in a discrete non linear system.

1. Probability approach in a discrete non linear system.

Hi MHF!

Suppose you are in a regular Texas Hold'em game where you have 2 'pocket' cards [2,2], and there are 4 'community' cards on the table [A,A,K,K] ( 4 different suits, so no flush possible ). I want to calculate the probabily of each non trivial hand an opponent might have. That is, the probability for each:

A A K K 2
A A K K 3
A A K K 4
A A K K 5
A A K K 6
A A K K 7
A A K K 8
A A K K 9
A A K K T
A A K K J
A A K K Q
A A K K K
A A A K K
A K K K K
A A A A K