Engage in a little mathematical detective work to see if you can spot the fakes.
Can you guess the colours of the 10 marbles in the bag? Can you develop an effective strategy for reaching 1000 points in the least number of rounds?
Imagine a room full of people who keep flipping coins until they get a tail. Will anyone get six heads in a row?
Here are two games you can play. Which offers the better chance of winning?
These secondary problems have not yet been solved. Can you be the first?