Let K: having at least a king

Q: having at least a queen

A: having at least an ace.

The probability of having at least a king or at least a queen given that there is at least an ace in the 6 cards drawn can be written as :

                          P(KUQ|A) = P(K|A) + P(Q|A) - P(K and Q | A)

We work to find P(A), and then use this relation for P(K|A):

                            P(K|A) = P(K and A) / P(A)

P(Q|A) is the same as P(K|A), and we use the same process and relations mentioned before to find P(K and Q|A).

Taking the complement was a big time-saver.