Does Order Matter?

Amy is dealt two cards from a standard deck. The probability that she is dealt a pair is \(\frac{52}{52} \cdot \frac{3}{51} = \frac{1}{17},\) since her first card can be anything and then the second card must be of the same rank.

From the remaining 50 cards, Blake is dealt two cards. Given that we don't know anything about what Amy was dealt, what is the probability that Blake has a pair?

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