olymmath

HMMT 2006 U3

  • Guts
  • Answer

At a nursey, 2006 babies sit in a circle. Suddenly each baby pokes the baby immediately to either its left or its right, with equal probability. What is the expected number of unpoked babies?

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

\frac{1003}{2}

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/2006/u3 · Tag X1QXSW6D0G · Edit this page on GitHub · Keys: j next, k previous