Answer to Question #286781 in Statistics and Probability for Tokyo

Question

Probability 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!