Three cards are taken, one after the other and without replacement, from a standard deck of 52 card. Find the probability that the first and third card are red?

Since the cards are drawn with replacement, the order isn't really relevant:

P (heart) = 13 / 52 = 1 / 4

P (red) = 26 / 52 = 1 / 2

P (face) = 12 / 52 = 3 / 13

P (heart and red and face) = 1 / 4 * 1 / 2 * 3 / 13 = 3 / 104