Sample Space Diagrams Flashcards

A table or grid used to list all possible outcomes of a probability experiment.

To organise and display all possible outcomes of an event in a clear and systematic way.

List all possible outcomes for one event along one axis and all possible outcomes for the other event along the other axis.

Rolling two dice and listing all possible pairs of outcomes (e.g., (1,1), (1,2), etc.).

Multiply the number of outcomes for each event (e.g., 6 outcomes for each die, so 6 × 6 = 36 outcomes).

Each cell in the diagram represents one possible outcome of the combined events.

They make it easier to calculate probabilities by showing all possible outcomes.

Count the number of favourable outcomes and divide by the total number of outcomes.

For events like rolling two dice, the diagram is often symmetrical, which can simplify calculations.

Forgetting to include all possible outcomes or miscounting the total number of outcomes.