Equally likely outcomes

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
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

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

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

Which Spinners?

Age

14 to 18

Challenge level

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

Teams

Age

16 to 18

Challenge level

Two brothers belong to a club with 10 members. Four are selected for a match. Find the probability that both brothers are selected.
problem

What Do You Know About Probability? (1)

Age

11 to 14

Challenge level

What is special about dice?
How can we use dice to explore probability?
$What \do \you \know \about Probability? (2)$

problem

What Do You Know About Probability? (2)

Age

11 to 14

Challenge level

What are the likelihoods of different events when you roll a dice?
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?
problem

Master Minding

Age

11 to 14

Challenge level

Your partner chooses two beads and places them side by side behind a screen. What is the minimum number of guesses you would need to be sure of guessing the two beads and their positions?