olymmath

HMMT November 2016 E6

  • General
  • Answer

The numbers 1,2⋯111,2 \cdots 11 are arranged in a line from left to right in a random order. It is observed that the middle number is larger than exactly one number to its left. Find the probability that it is larger than exactly one number to its right.

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

\frac{10}{33}

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 hmnt/2016/e6 · Tag ZAGH4WSGRD · Edit this page on GitHub · Keys: j next, k previous