2. One card is selected at random from an ordinary deck. The table shows all 52 equally likely outcomes.

Hearts A 2 3 4 5 6 7 8 9 10 J Q K

Diamonds A 2 3 4 5 6 7 8 9 10 J Q K

Spades A 2 3 4 5 6 7 8 9 10 J Q K

Clubs A 2 3 4 5 6 7 8 9 10 J Q K

Let be the event a face card is selected (Jack, Queen, or King).

Let be the event a king is selected.

Let be the event a heart is selected.

a) Find each probability. (), (), (), ( ), ( ), ( ), (|) ,(|), (|( ))

b) Are events and independent? Justify your answer using probabilities found in part a.

c) Are events and independent? Justify your answer using probabilities found in part a.

d) Are events and mutually exclusive? Justify your answer using a probability from part a.