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

The area of the larger square must equal the sum of the areas of the smaller squares.

Worked Solution

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

A coin is unbiased if P$\text{(head)}=\frac{1}{2}$.

Worked Solution