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Tic-Tac-Toe is being played. One 'X' has been placed in one
of the corners. No 'O' has been
placed yet.
Where does the player that is playing 'O' has to put his
first 'O' so that 'X' doesn't win?
Assume that both players are very intelligent. Explain your
answer
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Answer Posted / guest
"O" should be placed in the center.
Let's number the positions as:
1 | 2 | 3
---------
4 | 5 | 6
---------
7 | 8 | 9
It is given that "X" is placed in one of the corner
position. Let's assume that its at position 1.
Now, let's take each position one by one.
? If "O" is placed in position 2, "X" can always win by
choosing position 4, 5 or 7.
? If "O" is placed in position 3, "X" can always win by
choosing position 4, 7 or 9.
? If "O" is placed in position 4, "X" can always win by
choosing position 2, 3 or 5.
? If "O" is placed in position 6, "X" can always win by
choosing position 3, 5 or 7.
? If "O" is placed in position 7, "X" can always win by
choosing position 2, 3 or 9.
? If "O" is placed in position 8, "X" can always win by
choosing position 3, 5 or 7.
? If "O" is placed in position 9, "X" can always win by
choosing position 3, or 7.
If "O" is placed in position 5 i.e. center position, "X"
can't win unless "O" does something foolish ;))
Hence, "O" should be placed in the center.
| Is This Answer Correct ? | 5 Yes | 1 No |
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