Three cards are drawn one after another without replacement from a well-shuffled deck of 52 playing cards. Solve all parts.
a. (i) Find the probability that the first card is a king.
b. (ii) Given that the first card is a king, calculate the probability that the second card is a queen.
c. (iii) Determine the probability that the first card is a king, the second card is a queen and the third card is an ace.
d. (iv) Compute the probability that exactly one of the three drawn cards is a face card (king, queen or jack).