a question based on probability

Question

A card is drawn from a well-shuffled deck of 52 cards. The outcome is noted, the card is replaced and the deck is reshuffled. Another card is drawn from the deck. What is the probability that:
a.) Both the cards are of the same suit.
b.) Both the cards are aces.
c.) The first card is a spade and the second card is a black king.
d.) Both are face cards.

Answer 1

a.  the first card drawn will be of one particular suit. the probability that the same suit is drawn next is ¼

b. P(A,A, with replacement) =  (1/13)²

c. P(spade, then black king) = (1/4)(2/52) = 1/104

d. P(face, face) = (12/52)² = (3/13)²