Sample Spaces and Events

Probability · Axiom Academy

LESSON Sample Spaces and Events Understanding the foundation of probability through sample spaces and events The sample space (denoted S or Ω) is the set containing all possible outcomes of a random experiment. Let's visualize the sample space for rolling a standard six-sided die: An event is a subset of the sample space. Events are typically denoted by capital letters like A, B, C. Watch as we identify events within our sample space: Understanding standard notation helps us communicate probability concepts clearly. Let's see how different experiments create different sample spaces: When we perform multiple experiments together, the sample space consists of all possible combinations. Watch how the sample space expands with compound experiments:

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