How likely? - November 2010, Stage 2&3

In this month's problems we invite you to experiment with a range of situations whose outcomes may surprise you. Can you use mathematics to explain why you shouldn't be so surprised?

Problems

In the Playground

Stage: 1 and 2 Challenge Level:

What can you say about the child who will be first on the playground tomorrow morning at breaktime in your school?

The Car That Passes

Stage: 2 Challenge Level:

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?

Probably ...

Stage: 2 Challenge Level:

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 statement.

Winning the Lottery

Stage: 2 Challenge Level:

Try out the lottery that is played in a far-away land. What is the chance of winning?

At Least One...

Stage: 3 Challenge Level:

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?

Do You Feel Lucky?

Stage: 3 Challenge Level:

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?

Sociable Cards

Stage: 3 Challenge Level:

Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?

What Does Random Look Like?

Stage: 3 Challenge Level:

Engage in a little mathematical detective work to see if you can spot the fakes.