Dodge Ball
Player 1's goal is to produce a set of sequences, any one of which matches the single sequence of Player 2. Player 2, of course, tries to “dodge” every one of the sequences picked by Player 1 by producing a sequence that is not anywhere in the list of Player 1.
Start by deciding to be either Player 1 or Player 2. Then Start Game .
Player 1 begins by entering a sequence of X’s and O’s. Player 2 responds by filling in just one box (trying to “dodge” the sequence of Player 1).
Player 1 then enters another sequence, after which Player 2 fills in the second box (dodging both sequences of Player 1).
Play continues until all sequences are complete. Player 1 wins if any row matches the sequence of Player 2. Player 2 wins if there is no match.
To think about a strategy for Player 2, consider how the very first box should be filled. If Player 1 started the first sequence with an X, what must be the first entry of Player 2 to dodge the first sequence? Then, on the second turn, the first entry doesn’t match the first sequence of Player 1. How should the second entry be chosen so that Player 2 dodges both sequences of Player 1?