Card probabilities Five cards are dealt from a standard deck of 52. What is the probability that the 3rd card is a Queen? 
What I dont understand here is how to factor in when one or both of the first two cards drawn are also Queens. 

All orderings of the $52$ cards in the deck are equally likely. So the probability the third card in the deck is a Queen is exactly the same as the probability that the $17$-th card in the deck is a Queen, or that the first card in the deck is a Queen: They are all equal to $\dfrac{4}{52}$. 
The fact that $5$ cards were dealt is irrelevant. 
