Answer to Question #283937 in Statistics and Probability for Emili

Question

There are 10 teams. Each team plays another team each week for 15 weeks. The team with the higher score that week wins the game and gets a win. The team with the lower score in the matchup gets a loss. At the end of the season the teams with the best 6 win/loss records advance to the next round and the teams with the four worst win/loss records are eliminated.

What is the probability of the four teams with the highest number of total points scored getting eliminated? Also, what are the chances of the team with the most points scored coming in 10th place? Bonus if you know the probability of both things happening!

Answer 1

Solution:

In this scenario, the teams with the highest number of total points scored will advances to the next rounds of the match and therefore, the probability of that team getting eliminated = 0.

Likewise, the team with most points scored will obviously come on top of the points table and will achieve the first position and therefore, the probability of that team coming in the 10th place is also = 0.