HMMT 十一月 2018 · GEN 赛 · 第 2 题
HMMT November 2018 — GEN Round — Problem 2
题目详情
- Twenty-seven players are randomly split into three teams of nine. Given that Zack is on a different team from Mihir and Mihir is on a different team from Andrew, what is the probability that Zack and Andrew are on the same team?
解析
- Twenty-seven players are randomly split into three teams of nine. Given that Zack is on a different team from Mihir and Mihir is on a different team from Andrew, what is the probability that Zack and Andrew are on the same team? Proposed by: Yuan Yao 8 Answer: 17 Once we have assigned Zack and Mihir teams, there are 8 spots for more players on Zack’s team and 9 for more players on the third team. Andrew is equally likely to occupy any of these spots, so our 8 answer is . 17