Draw a card from a shuffled deck of 52 cards.
a. What is the probability that the card is a spade given the card is seven?
b. What is the probability that the card is a spade given the card is black?
c. What is the probability that the card is black if you know that the card is seven?
d. What is the probability that the card is either spade or clubs given the card is seven?
e. What is the probability that the card is black given the card is spade?