What can you say about the child who will be first on the playground tomorrow morning at breaktime in your school?
What statements can you make about the car that passes the school gates at 11am on Monday? How will you come up with statements and test your ideas?
You'll need to work in a group for this problem. The idea is to
decide, as a group, whether you agree or disagree with each
Try out the lottery that is played in a far-away land. What is the
chance of winning?
Move your counters through this snake of cards and see how far you
can go. Are you surprised by where you end up?
Engage in a little mathematical detective work to see if you can spot the fakes.
Imagine flipping a coin a number of times. Can you work out the
probability you will get a head on at least one of the flips?
Some people offer advice on how to win at games of chance, or how
to influence probability in your favour. Can you decide whether
advice is good or not?
Imagine a room full of people who keep flipping coins until they
get a tail. Will anyone get six heads in a row?
There was some excellent conjecturing, proving and generalising
that went on as you tackled this problem.
Go to last month's problems to see more solutions.
Uncertain about the likelihood of unexpected events? You are not
All you need for this game is a pack of cards. While you play the
game, think about strategies that will increase your chances of