Theoretical probability

Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?

Anna and Becky put one purple cube and two yellow cubes into a bag to play a game. Is the game fair? Explain your answer.

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

Are these games fair? How can you tell?

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

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

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?

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

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

Which of these games would you play to give yourself the best possible chance of winning a prize?