Which one is correct? Show your explanation.

Finally, let's get you at least some more "actual", content-related practice: (In this and all other questions in which a game matrix is given, Player 1 chooses the row, Player 2 chooses the column, and ifthere is a Player 3, she chooses the matrix.) Consider the following 3-person game in which each player can choose an alternative A or alternative B. The left matrix occurs if player 3 chooses A, and the right matrix if player 3 chooses B. Which of the following values can X take in order for the game to describe a "majority game", meaning a situation in which every player prefers to choose an alternative that is chosen by a majority of the players over an alternative that is chosen by a minority of the players