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.