Probability - Stage 3


This is part of ourĀ Secondary Curriculum collection of favourite rich tasks arranged by topic.

Sociable Cards

Stage: 3 Challenge Level: Challenge Level:1

Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?

Flippin' Discs

Stage: 3 Challenge Level: Challenge Level:1

Identical discs are flipped in the air. You win if all of the faces show the same colour. Can you calculate the probability of winning with n discs?

What Does Random Look Like?

Stage: 3 Challenge Level: Challenge Level:1

Engage in a little mathematical detective work to see if you can spot the fakes.

Odds and Evens

Stage: 3 Challenge Level: Challenge Level:1

Is this a fair game? How many ways are there of creating a fair game by adding odd and even numbers?

Cosy Corner

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Six balls of various colours are randomly shaken into a trianglular arrangement. What is the probability of having at least one red in the corner?

Two's Company

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

7 balls are shaken in a container. You win if the two blue balls touch. What is the probability of winning?

At Least One...

Stage: 3 Challenge Level: Challenge Level:1

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?

Statistical Shorts

Stage: 3 and 4 Challenge Level: Challenge Level:1

Can you decide whether these short statistical statements are always, sometimes or never true?

Interactive Spinners

Stage: 3 Challenge Level: Challenge Level:1

This interactivity invites you to make conjectures and explore probabilities of outcomes related to two independent events.

Do You Feel Lucky?

Stage: 3 Challenge Level: Challenge Level:1

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?

Non-transitive Dice

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Alison and Charlie are playing a game. Charlie wants to go first so Alison lets him. Was that such a good idea?

Probability Stage 3 - Short Problems

Stage: 3

A collection of short Stage 3 problems on probability.