Probability of Drawing Two Red Cards

A deck of playing cards contains 52 unique cards: 26 are red (hearts and diamonds) and 26 are black (clubs and spades). If two cards are drawn randomly from the deck without replacement, what is the probability that both cards drawn are red?

First, consider the total number of ways to draw 2 cards from a deck of 52 cards. This can be calculated using the combination formula:

$$ C(n, k) = \f\frac{n!}{k!(n - k)!} $$

where $n$ is the total number of cards, and $k$ is the number of cards to draw. Next, consider the number of ways to draw 2 red cards from the 26 red cards available.