Sample Space for Rolling Dice

Probability · Axiom Academy

EXAMPLE Sample Space for Rolling Dice Understanding all possible outcomes when rolling one or two dice Excellent work! You've completed this example. Here's what we learned: Sample Space: The set of all possible outcomes in an experiment. For one die, S = 1, 2, 3, 4, 5, 6 . Counting Principle: When rolling two dice, we multiply: 6 × 6 = 36 total outcomes. Events: Any subset of the sample space. For example, "sum equals 7" contains 6 outcomes. Probability Formula: P(Event) = (Number of favorable outcomes) / (Total outcomes in sample space). Understanding sample spaces is the foundation for calculating probabilities!

This is the written version of the interactive lesson above. See the full Probability course.