Question

Suppose that the first four moves of a tic-tac-toe game are as shown.

Does the first player (whose moves are marked by Xs) have a strategy that will always win? (If no, explain why. If yes, show the winning strategy in a form of a game tree)

Answer 1

The first player using Xs does indeed have a strategy to always win by placing an X in the Middle right box.

Why is this a winning strategy?

When the first player places an X in the middle right spot, the second player will have to place an O in two places to avoid the first player winning.

They would have to place an O in the middle left space and in the bottom right space. Seeing as they can't place an O in two boxes at once, the first player will be able to place an X in the empty box out of the two, and win.

In conclusion, there is a winning strategy.

Find out more on strategy in tic-tac-toe at https://brainly.com/question/15262069.

Answer 2

Step-by-step explanation:

The first player has two possible winning moves.

1. Middle right box

Regardles the next move the first player has one of the two options next: middle left or bottom right box

2. Bottom right box

Regardles the next move the first player has one of the two options next: middle right or top left box