Question

There are $5$ girls and $5$ boys in a chess club. The club holds a round-robin tournament in which every player plays against every other player exactly once.

If Anita is one of the club members, what fraction of all games at the tournament does Anita play in? Enter your answer as a fraction in simplified form.

Answer 1

1/5

Explanation:

Anita plays against 9 opponents, so she plays 9 games. There are 45 games played in total, so Anita plays in 9/45 or 1/5 of the games.

Answer 2

1/10, because she plays in 10 games out of 100