Probability

problem
Favourite

Knock-Out

Age

16 to 18

Challenge level

Before a knockout tournament with 2^n players I pick two players. What is the probability that they have to play against each other at some point in the tournament?
problem
Favourite

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
Favourite

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
Favourite

All Change

Age

5 to 7

Challenge level

There are three versions of this challenge. The idea is to change the colour of all the spots on the grid. Can you do it in fewer throws of the dice?
problem
Favourite

Domino Pick

Age

5 to 7

Challenge level

Are these domino games fair? Can you explain why or why not?
problem
Favourite

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?
interactivity
Favourite

Dice and Spinners Interactive

Age

5 to 18

Simple dice and spinners tool for experiments.
problem
Favourite

Odds or Sixes?

Age

7 to 11

Challenge level

Play this dice game yourself. How could you make it fair?
problem
Favourite

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
Favourite

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?