Question 29

Challenge question #29 (19/09/2016)

Junior Question

Show how to cut up and reassemble five identical squares of side length $1$ unit into a single square.

Hint

Senior Question

Two coins are tossed. If the probability of a match (both heads or both tails) is $\frac{1}{2}$, prove that at least one of the coins is unbiased.

Hint