Shuffle a deck of cards and pick two cards at random. Observe the sequence of the two cards in the order in which they were chosen.
(a) How many outcomes are in the sample space?
(b) How many outcomes are in the event that the two cards are the same type but differentsuits?
(c) What is the probability that the two cards are the same type but different suits?
(d) Suppose the experiment specifies observing the set of two cards without considering the order in which they are selected, and redo parts (a) - (c).