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draw. (There are many right answers.) 5. Suppose you play Tic-Tac-Toe on a 2 × 2

ID: 3275998 • Letter: D

Question

draw. (There are many right answers.) 5. Suppose you play Tic-Tac-Toe on a 2 × 2 board, as shown in Figure 1.14. The usual rules apply. Player 1, who goes first, puts an X in any one of the cells. Player 2, who goes second, puts an O in one of the remaining cells. The first player to fill a row, column, or diagonal with his or her marks wins. Show that this game is like Chess. Draw its extensive form. Which player can guarantee a win? k In section 1.5. we said experienced Tic-Tac-Toe plavers on a 3 x 3 board never lose. Show

Explanation / Answer

In the above TIC TAC game of 2X2 the player who plays first wins

The second player who has played never wins as he did not have chance to wins after the second move of the first person

As the first person can keep cross mark in row,column and diagonal

He has 100% chance of win