# Two cards are drawn at random from a standard deck of 52 cards, without replacement. What is the probability that both cards drawn are hearts?

The probability that both cards that are drawn are hearts is $\frac{1}{17}$.
First off, know that there are 13 heart cards in the deck of 52 cards. Therefore, the chance of pulling a single heart card is $\frac{13}{52}$. Let's say we do pull a heart card. Since there is no replacement for the heart card taken out of the deck, we now have 12 heart cards out a deck of 51 cards. The chance of pulling out a heart card in now $\frac{12}{51}$. To find the probability that both cards drawn out are hearts, multiply the two fractions together: $\left(\frac{13}{52}\right) \cdot \left(\frac{12}{51}\right) = \frac{156}{2652} = \frac{1}{17}$.