Quote by shmoe
Probability doesn't work like this. You can't guarantee in any way that the last 4 cards will be from 4 different suits. Your conclusion of 25% for the 52nd, 51st, 50th, and 49th can't possibly be correct either, it would mean that all the other possibilities have zero probability.

I didn't mean that the probability, from the start, was 25% for it to be selected in positions 4952. I was (perhaps incorrectly) considering the probability after 48 cards have been drawn (believing that 1 of each suit would likely remain). You are just as likely to have drawn 'n' amount of hearts as 'n' amount of the other suits in 4*n draws. Therefore after 48 cards are drawn, you are most likely to have 12 hearts, 12 clubs, 12 spades, and 12 diamonds, no?
I do not believe that you can dissect which position the 13th heart is the most likely to occur in. Instead, I believe that it would only be possible to determine the GROUP of cards it most likely appears inand my conclusion is that it is most likely to occur in the group that consists of positions 49,50,51,52.