A deck is shuffled and two cards are dealt. (a) Find the chance that the second card is a heart given the first card is a heart. (b) Find the chance that the first card is a heart and the second card is a heart.

Answer: a) 12/51

b) 3/51

Step-by-step explanation:

we are assuming the cards are dealt without replacement

a) given that the first card is heart, we are left with 12 hearts and 51 cards in total

Therefore, the probability that the second card is heart is:

P2 = 12/51

b) probability that the two cards are hearts is given by:

P = 13/52 * 12/51

P = 3/51