Data Analysis
Virginia SOL AFDA.DA.3
Calculate and interpret probabilities, including those in contextual situations.
What students need to be able to do
- Analyze, interpret, and make predictions based on theoretical probability.
- Calculate conditional probabilities for dependent, independent, and mutually exclusive events.
- Represent and calculate probabilities using Venn diagrams, probability trees, organized lists, two-way tables, simulations, or other probability models.
- Interpret probabilities from simulations or experiments to make informed decisions and justify the rationale.
- Define and give contextual examples of complementary, dependent, independent, and mutually exclusive events.
- Given two or more events in a problem setting, determine whether the events are complementary, dependent, independent, and/or mutually exclusive.
- Compare and contrast permutations and combinations, including those in contextual situations.
- Calculate the number of permutations of n objects taken r at a time, without repetition.
- Calculate the number of combinations of n objects taken r at a time, without repetition.