I have a game where you start with 13 cards (for example a single suit). Randomly select three cards, from which you discard both the lowest and the highest, while returning the median card to the original set. This process is then repeated with the sucessively smaller set until only a single card remains. What is the probability for each of the 13 cards you started with remaining as the last one in the set?

I got 1 and 13 :)

Posted by Dan Blume on 2003-12-31 15:59:50