Tommy's favorite baseball team, the trojans, just released a new collection of baseball cards. the only way to collect these baseball cards is by buying mike's magic cereal boxes. each cereal box comes with a single card inside, but what makes them magical is this: it is three times more likely for tommy to collect a card that he hasn't collected before than it is for him to get a card that he already has (unless of course he doesn't have any cards, in which case he'll always get a card that he doesn't have, or he's collected them all, in which case he shouldn't be buying this cereal anymore). there are n different playing cards in total, and tommy is determined to collect them all. (a) if tommy has already collected m > 0 baseball cards, what is the expected number of additional boxes of cereal that the tommy will need to buy in order to collect a new card? (b) what is the expected number of boxes of cereal that the tommy will have to buy in order to collect all n distinct cards?