List

Probability - Stage 3

Flippin' discs
problem
Favourite

Flippin' discs

Age
11 to 14
Challenge level
filled star empty star empty star
Discs are flipped in the air. You win if all the faces show the same colour. What is the probability of winning?
Odds and Evens
problem
Favourite

Odds and Evens

Age
11 to 14
Challenge level
filled star empty star empty star
Are these games fair? How can you tell?
Two's company
problem
Favourite

Two's company

Age
11 to 14
Challenge level
filled star filled star empty star
Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?
Cosy corner
problem
Favourite

Cosy corner

Age
11 to 14
Challenge level
filled star filled star empty star
Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?
Interactive Spinners
problem
Favourite

Interactive Spinners

Age
11 to 14
Challenge level
filled star empty star empty star
This interactivity invites you to make conjectures and explore probabilities of outcomes related to two independent events.
Sociable Cards
problem
Favourite

Sociable Cards

Age
11 to 14
Challenge level
filled star empty star empty star
Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?
Do you feel lucky?
problem
Favourite

Do you feel lucky?

Age
11 to 14
Challenge level
filled star empty star empty star
Some people offer advice on how to win at games of chance, or how to influence probability in your favour. Can you decide whether advice is good or not?
What does random look like?
problem
Favourite

What does random look like?

Age
11 to 14
Challenge level
filled star empty star empty star
Engage in a little mathematical detective work to see if you can spot the fakes.
At least one...
problem
Favourite

At least one...

Age
11 to 14
Challenge level
filled star empty star empty star
Imagine flipping a coin a number of times. Can you work out the probability you will get a head on at least one of the flips?
Non-Transitive Dice
problem
Favourite

Non-Transitive Dice

Age
11 to 14
Challenge level
filled star filled star empty star
Alison and Charlie are playing a game. Charlie wants to go first so Alison lets him. Was that such a good idea?
Statistical shorts
problem
Favourite

Statistical shorts

Age
11 to 16
Challenge level
filled star empty star empty star
Can you decide whether these short statistical statements are always, sometimes or never true?