by Solaris » Thu Jul 02, 2020 1:49 pm
Paul and Mary play a game with 12 marbles marked 1, 2, ... 12, and two baskets. First, Paul selects a basket, then Mary selects a marble and puts it in the basket. This continues until all marbles are distributed. Finally, Mary chooses a basket. What maximum sum can Mary can secure for herself? Prove your answer! (Note: Both make optimal selcetions).