In the following problems, cards are drawn from a standard 52-card deck. Before a second draw, the first card drawn is replaced and the deck is thoroughly shuffled. Compute each of the following probabilities.

a. The probability of drawing a 10 on the first draw.

b. The probability of drawing either a deuce, a 3, a 4, a 5, a heart, or a diamond on the first draw.

c. The probability of drawing the ace of spades twice in a row.

d. The probability of drawing either a jack, a 10, a 7 of clubs, or a spade on the first draw and then drawing either the ace of diamonds or 9 of hearts on the second draw.

e. Recompute the probabilities asked for in parts (c) and (d) assuming that the first card drawn is not replaced.