Second consecutive pair from a deck

From a standard 52-card deck Sam draws two cards, which turn out to have the same rank. He draws two more cards. What is the probability that this second pair also matches in rank?

$73/1225$. Of the 50 cards left, there are $\binom{50}{2}=1225$ equally likely pairs. Matching pairs: 1 from the two remaining cards of the first rank, plus $12\binom42=72$ from the other ranks, so $\tfrac{73}{1225}$.