olymmath

HMMT 2004 U17

  • Guts
  • Answer

Kate has four red socks and four blue socks. If she randomly divides these eight socks into four pairs, what is the probability that none of the pairs will be mismatched? That is, what is the probability that each pair will consist either of two red socks or of two blue socks?

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

\frac{3}{35}

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Similar problems

These problems have the most words in common with this statement.

Locator hmmt/2004/u17 · Tag BB2Y9E2KAJ · Edit this page on GitHub · Keys: j next, k previous