Theoretical probability

problem
Limiting probabilities

Age

16 to 18

Challenge level

Given probabilities of taking paths in a graph from each node, use matrix multiplication to find the probability of going from one vertex to another in 2 stages, or 3, or 4 or even 100.
problem
Fa cup

Age

16 to 18

Challenge level

In four years 2001 to 2004 Arsenal have been drawn against Chelsea in the FA cup and have beaten Chelsea every time. What was the probability of this? Lots of fractions in the calculations!
problem
Bet you a million

Age

14 to 16

Challenge level

Heads or Tails - the prize doubles until you win it. How much would you pay to play?
problem
Magic bag

Age

16 to 18

Challenge level

A weekly challenge concerning combinatorical probability.
problem
Two and one

Age

5 to 7

Challenge level

Terry and Ali are playing a game with three balls. Is it fair that Terry wins when the middle ball is red?
problem
In the playground

Age

5 to 11

Challenge level

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

Age

7 to 11

Challenge level

In this game you throw two dice and find their total, then move the appropriate counter to the right. Which counter reaches the purple box first?
problem
Probably...

Age

7 to 11

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.
problem
The car that passes

Age

7 to 11

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?
problem
Roll these dice

Age

7 to 11

Challenge level

Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?