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In a far-away land, the lottery consists of four balls numbered 1 to 4, which are placed in a bag.
To enter, you choose one number.
To win, your number must match the number that is drawn from the bag.
What is the chance of winning this lottery?
The people running the lottery in this far-away land decide that it is too easy to win. So, they change their lottery game.
In the new lottery, there are still four balls numbered 1 to 4, which are placed in a bag.
Now, to enter, you choose two numbers.
To win, your numbers must match (in any order) the two numbers that are drawn from the bag.
What is the chance of winning this new lottery?
Have the organisers made it harder to win compared with their original version?
Can you create your own version of the lottery which would also be harder to win than the first game?
How do you know that your game is harder?
What number/s could be drawn?
What are all the possible draws?
How do you know you have got them all?
How can you tell which version of the lottery is easier/harder to win?
A maths-based Football World Cup simulation for teachers and students to use.
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.
What can you say about the child who will be first on the playground tomorrow morning at breaktime in your school?