In this task, students are asked to investigate the fairness of two different probability games The games (a coin flipping game and a ball picking game) are specifically designed so that they are unfair and can be proven so through the finding of an pattern in the probabilities. The coin flipping game, in Part A, has a fairly simple pattern that is based on adding probabilities of compounded events. Meanwhile, in Part B, the ball picking game’s pattern is quite a bit more complex as the game has an extra condition that changes the probabilities of events over the course of a game.

Math Concepts:
probability
probability of compound events
tree diagrams
sample space

MYP Related Concepts:
models
patterns

MYP Key Concepts:
systems

MYP Global Context:
Fairness and Development