Final answer:
The probability that the second card is a heart, given that the first card is a diamond, is 13/51.
Step-by-step explanation:
To find the probability that the second card drawn is a heart given that the first card drawn is a diamond, we need to consider the remaining cards in the deck after the first card is drawn.
After the first card is drawn, there are 51 cards remaining in the deck. Out of these 51 cards, there are 13 hearts remaining.
Therefore, the probability that the second card is a heart, given that the first card is a diamond, is 13/51.