Experimental probability

problem

The Twelve Pointed Star Game

Age

7 to 11

Challenge level

2 out of 3

Have a go at this game which involves throwing two dice and adding their totals. Where should you place your counters to be more likely to win?
problem

It's a Tie

Age

7 to 11

Challenge level

2 out of 3

Kaia is sure that her father has worn a particular tie twice a week in at least five of the last ten weeks, but her father disagrees. Who do you think is right?
problem

Winning the Lottery

Age

7 to 11

Challenge level

2 out of 3

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

Football World Cup Simulation

Age

7 to 16

Challenge level

1 out of 3

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

Stop or Dare

Age

7 to 16

Challenge level

1 out of 3

All you need for this game is a pack of cards. While you play the game, think about strategies that will increase your chances of winning.
game

Game of Pig - Sixes

Age

7 to 18

Challenge level

1 out of 3

Can you beat Piggy in this simple dice game? Can you figure out Piggy's strategy, and is there a better one?
problem

A Brief History of Probability

Age

11 to 14

Challenge level

1 out of 3

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

Snail Trails

Age

11 to 14

Challenge level

1 out of 3

This is a game for two players. Does it matter where the target is put? Is there a good strategy for winning?
problem

Misunderstanding Randomness

Age

11 to 14

Challenge level

2 out of 3

Which of these ideas about randomness are actually correct?
problem

Coin Tossing Games

Age

14 to 16

Challenge level

2 out of 3

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?