ERJ Brainteaser: August
4 Aug 2025

Each month, ERJ sets a weekly brainteaser, with questions of varying degrees of difficulty. Readers supplying the most accurate (and stylish) answers are then considered for the prestigious Brainiac of the Month title.
Question 1: Hat trick
Magicians Alan, Brian and Chris each hold five tokens in a hat: each with the same five colours.
Each magician takes a token randomly from the other two hats and puts them into his own hat.
What is the probability that Alan, Brian and Chris each end up with five different coloured tokens in their hats?
Email your answer: correct replies on Friday.