Final answer:
The probability that the 2nd card drawn, given that the 1st card is a diamond, is a heart is 13/51.
Step-by-step explanation:
To find the probability that the second card drawn, given that the first card is a diamond, is a heart, we need to consider the number of hearts in the remaining 51 cards (since one diamond has already been drawn). There are 13 hearts in the deck, so the probability of drawing a heart as the second card, given that the first card is a diamond, is 13/51. Therefore, the correct answer is D) 13/51.