Question: (8 points) Four cards are dealt off the top of a well shuffled deck. You have a choice:

(a) To win $1 if the first card is a club, and the second a diamond, and the third is a heart, and the fourth is a spade, in this order.

(b) To win $1 if the four cards are of four different suits, in any order.

Which option is better? Or are they equivalent?

For credit, justify by showing what is the probability in each case.