More poison chocolate

Probability Level 1

Charlie didn't like the outcome last time, so Tracy suggested playing a different version of the coin-moving game. This version is played on a 5×55 \times 5 grid with a green square in the middle and a coin in the lower right corner. The rules are as follows:

  • Charlie goes first, then Charlie and Tracy take turns moving the coin.
  • The coin can only be moved one space up, left, or diagonally up-and-left.
  • If a player moves the coin to the green square, that player must move it again.
  • The first player to move the coin to the upper left corner wins.

If both play optimally, who will always win?


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