Nicky, who is a wine taster, tries five California wines and six Bordeaux wines and she is asked to assign a number to each wine, according to her preference, so that the best wine receives number one, the one she likes after that receives number two, and so on.

(i) Let Y be the number assigned to the Bordeaux wine that Nicky likes best. Find the probability function of Y, assuming that initially all wines have the same probability of being selected in any order.
(ii) Let now Y′ be the number assigned to Nicky’s second most favorite Bordeaux wine. Find the probability function of Y′.