1. (12 points) You randomly shuffle a standard deck of 52 cards and you take the top 10 cards, in order, one by one. What is the probability that:

(a) The first card is a heart?

(b) The first card is not a spade?

(c) The first and second cards are the same color?

(d) The fifth card is red?

(e) The first card is an ace, given that it is a heart?

(f) The second card is an ace, given that the first card is an ace?