14 pts One card is chosen from a standard deck a State the s

14 pts) One card is chosen from a standard deck.

a.) State the sample space.

b.) Find the probability of a King.

c.) Find the probability of less than 7 (Ace is considered a high card.)

d.) Find the probability a Heart.

e.) Find the probability a Heart and King.

f.) Find the probability of a King or a Heart.

g.) Find the probability of less than 7 (Ace high) and a King.

h.) Find the probability of less than 7 (Ace high) or a King.

i.) Find the probability of a Heart, given less than 7 (Ace high).

j.) Are the events King and less than 7 mutually exclusive? Why or why not?

k.) Are the events less than 7 and Heart independent? Why or why not?