Ask Question
30 July, 23:35

Consider a modified version of the very famous tic-tac-toe game in which player 1 moves, then player 2 moves, and then player 3 moves and the game ends. The number of strategies for player 1, 2, and, 3 are respectively:

a.

9, 72, and 504.

b.

None of the available options in this list.

c.

9, 9, and 9.

d.

9, 8, and 7.

+5
Answers (1)
  1. 31 July, 00:12
    0
    Answer: (a). 9, 72, and 504

    Explanation:

    The number of strategies for player 1, 2 and 3 in the tic - tac - toe game where player 1 moves, then player 2 moves and then player 3 moves can be analyzed below.

    For player 1;

    The player can choose any of the available 9 positions:

    This gives the player 9 strategies.

    For player 2;

    The player faces a total of 9 nodes as he moves, and at each of the nodes the player has available 8 positions vacant to choose from

    Calculating that gives,

    Strategies = 9*8 = 72

    For player 3;

    The player faces a total of 72 nodes as he moves, i. e. 9*8,

    Where at each node, 7 available positions are vacant

    So, calculating the total strategies for player 3 gives;

    Total strategies = 72*7 = 504
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Consider a modified version of the very famous tic-tac-toe game in which player 1 moves, then player 2 moves, and then player 3 moves and ...” in 📙 Business if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers