Theoretical probability

problem

Bipin's Choice

Age

7 to 11

Challenge level

Bipin is in a game show and he has picked a red ball out of 10 balls. He wins a large sum of money, but can you use the information to decided what he should do next?
problem

Trick or Treat

Age

7 to 11

Challenge level

Mrs. Smith had emptied packets of chocolate-covered mice, plastic frogs and gummi-worms into a cauldron for treats. What treat is Trixie most likely to pick out?
problem

Winning the Lottery

Age

7 to 11

Challenge level

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

A Bit of a Dicey Problem

Age

7 to 11

Challenge level

When you throw two regular, six-faced dice you have more chance of getting one particular result than any other. What result would that be? Why is this?
game

Football World Cup Simulation

Age

7 to 16

Challenge level

A maths-based Football World Cup simulation for teachers and students to use.
problem

A Brief History of Probability

Age

11 to 14

Challenge level

Can you help d'Alembert discover the probabilty of at least one head in two coin flips?
problem

Misunderstanding Randomness

Age

11 to 14

Challenge level

Which of these ideas about randomness are actually correct?
problem

Nine or Ten?

Age

11 to 14

Challenge level

Is a score of 9 more likely than a score of 10 when you roll three dice?
problem

Marbles and Bags

Age

14 to 16

Challenge level

Two bags contain different numbers of red and blue marbles. A marble is removed from one of the bags. The marble is blue. What is the probability that it was removed from bag A?
problem

Coin Tossing Games

Age

14 to 16

Challenge level

You and I play a game involving successive throws of a fair coin. Suppose I pick HH and you pick TH. The coin is thrown repeatedly until we see either two heads in a row (I win) or a tail followed by a head (you win). What is the probability that you win?