Copyright © University of Cambridge. All rights reserved.

'Monkey Puzzle' printed from https://nrich.maths.org/

Show menu



Three monkeys met for tea in their favourite cafe, taking off their hats as they arrived. When they left, they each put on one of the hats at random.

What is the probability that they all left wearing the wrong hat?



This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.