Hosted by The Math Forum

Problem of the Week 1162

A World Cup Problem

MacPoW Home ||  Forum PoWs ||  Teachers' Place ||  Student Center ||  Search MacPoW

Suppose there are 4 superior teams among the 32 in soccer's World Cup. If the 32 are placed randomly into eight groups of 4, what is the probability that the superior teams will be in different groups?

Real-world note: FIFA actually does some seeding (details for 2014 are not completely clear yet) to avoid having top teams in the same group. So this question is an attempt to understand how critical the seeding is.

© Copyright 2013 Stan Wagon. Reproduced with permission.

[View the solution]

[Privacy Policy] [Terms of Use]

Home || The Math Library || Quick Reference || Search || Help 

© 1994- The Math Forum at NCTM. All rights reserved.

4 September 2013