Comparing Theoretical & Experimental Probability

Compound Events

Formative Assessment

Summary of the Math: Compound Events

Read and Discuss

Multistage experiments result in compound events. Compound events are are composed of independent events if the occurrence of one event does not affect the outcome of the other event—that is, if the probability of one event is unrelated to the probability of the other event.

The sample space of a multistage experiment is the set of all possible outcomes of that experiment. You can represent the sample space of a multistage experiment using tree diagrams, lists, and tables, and use these representations to find the probability of compound events.

If you simulate a multistage experiment, the larger the sample size you use, the closer your experimental results will be to the expected results (the theoretical probability).

Can you:

  • Define independent events?
  • Explain how you can use representations of the sample space to find the probability of compound events?
  • Explain the difference between expected results (theoretical probability) and experimental results?
  • Explain how sample size affects experimental results?