MA.912.DP.4

Use and interpret independence and probability.

MA.912.DP.4.1Describe events as subsets of a sample space using characteristics, or categories, of the outcomes, or as unions, intersections or complements of other events.MA.912.DP.4.10Given a mathematical or real-world situation, calculate the appropriate permutation or combination.MA.912.DP.4.2Determine if events A and B are independent by calculating the product of their probabilities.MA.912.DP.4.3Calculate the conditional probability of two events and interpret the result in terms of its context.MA.912.DP.4.4Interpret the independence of two events using conditional probability.MA.912.DP.4.5Given a two-way table containing data from a population, interpret the joint and marginal relative frequencies as empirical probabilities and the conditional relative frequencies as empirical conditional probabilities. Use those probabilities to determine whether characteristics in the population are approximately independent.MA.912.DP.4.6Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations.MA.912.DP.4.7Apply the addition rule for probability, taking into consideration whether the events are mutually exclusive, and interpret the result in terms of the model and its context.MA.912.DP.4.8Apply the general multiplication rule for probability, taking into consideration whether the events are independent, and interpret the result in terms of the context.MA.912.DP.4.9Apply the addition and multiplication rules for counting to solve mathematical and real-world problems, including problems involving probability.
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