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Calculate the probabilities of complementary events.
Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or complements of other events.
Understand the multiplication counting principle, permutations, and combinations; use them to solve real-world problems. Use simulations with and without technology to solve counting and probability problems.
Understand and use the addition rule to calculate probabilities for mutually exclusive and nonmutually exclusive events.
Develop a probability distribution for a random variable defined for a sample space in which theoretical probabilities can be calculated; find the expected value.