Choose
Choose a carnival game.
Start here
Chance Carnival
Test probability with repeated trials.
Try
Predict, then run the trials.
Check
Compare the result with your prediction.
Year 7–8 maths mission
Carnival Fairness Investigator
Luck changes individual spins. Mathematics reveals what happens over many games.
1 / 4
Preview mode. You can complete the whole mission, but this run is not recorded.
- 1BriefUnderstand the job
- 2BuildBuild a model
- 3DecideMake a decision
- 4DebriefConnect it to a test
Prize Wheel A
$2 ticket
Blue4/8 sectors · $0 prize
Gold2/8 sectors · $3 prize
Pink1/8 sectors · $8 prize
Green1/8 sectors · $1 prize
Which outcome is most likely?
Chance versus expectation
Work from the sector counts first. A bigger sector share means a bigger probability.
Theoreticalwhat the design predicts
Experimentalwhat the trials produce
Expected valuelong-run average return