Tree diagrams

If everyone in your class picked a number from 1 to 225, do you think any two people would pick the same number?

By tossing a coin one of three princes is chosen to be the next King of Randomia. Does each prince have an equal chance of taking the throne?

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

Are these games fair? How can you tell?

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

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

Chris and Jo put two red and four blue ribbons in a box. They each pick a ribbon from the box without looking. Jo wins if the two ribbons are the same colour. Is the game fair?

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?

If the score is 8-8 do I have more chance of winning if the winner is the first to reach 9 points or the first to reach 10 points?

Predict future weather using the probability that tomorrow is wet given today is wet and the probability that tomorrow is wet given that today is dry.