Probability that first card is not a heart is 3/4 since 4 suits in the deck, hearts are 1/4 of the deck.

Since we don't replace cards, the probability of the next card drawn without a heart is (13*3 - 1)/51 = 38/51

Probability of both cards not being hearts is found by multiplying both individual probabilities:

3/4 * 38/51 = 114/204

Having at least one heart is found by subtracting this from 1 which is 204/204:

204/204 - 114/204 = 90/204

This reduces to

**15/34**