Two cards will be dealt off the top of a well-shuffled standard deck of 52 playing cards (without replacing the first card). You have a choice:

(i) To win $1 if the first card is an ace (there are four aces in a standard deck).

(ii) To win $1 if the first card is an ace, and the second card is an ace.

Briefly explain which is better, intuitively and without calculating, and then work out both probabilities.