Equally likely outcomes

problem

Boy or girl?

Age

14 to 16

Challenge level

Will the witch make a profit or loss?
problem
Favourite

Which spinners?

Age

14 to 18

Challenge level

Can you work out which spinners were used to generate the frequency charts?
problem

Dicey dice

Age

16 to 18

Challenge level

Invent a set of three dice where each one is better than one of the others?
problem

Misunderstanding randomness

Age

11 to 14

Challenge level

Which of these ideas about randomness are actually correct?
problem

Can't find a coin?

Age

11 to 14

Challenge level

Can you generate a set of random results? Can you fool the random simulator?
problem
Favourite

Connect three

Age

11 to 16

Challenge level

In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?
problem
Favourite

Cosy corner

Age

11 to 14

Challenge level

Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?
problem
Favourite

Two's company

Age

11 to 14

Challenge level

Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?
problem
Favourite

Flippin' discs

Age

11 to 14

Challenge level

Discs are flipped in the air. You win if all the faces show the same colour. What is the probability of winning?
problem

How many balls?

Age

16 to 18

Challenge level

A bag contains red and blue balls. You are told the probabilities of drawing certain combinations of balls. Find how many red and how many blue balls there are in the bag.