Final answer:
In musical chairs with fifteen students, the music needs to stop fourteen times for the game to have a winner.
Step-by-step explanation:
Musical chairs is a game where players walk around chairs while music plays. When the music stops, everyone must find a chair to sit on. With each stop of the music, one chair is removed, and one player is eliminated. The game continues until there is only one chair and two players left, and when the music stops for the final time, the player who sits down first is the winner.
Since there are fifteen students playing musical chairs, the process of removing one chair after each round means the music must stop fourteen times for someone to win the game. At the start, there are fourteen chairs for fifteen players. After each round, one player is eliminated until there are two players and one chair, leading up to the final round where the winner is determined.