NC.M2.S-CP

NC.M2.S-CP

NC.M2.S-CP.1Describe events as subsets of the outcomes in a sample space using characteristics of the outcomes or as unions, intersections and complements of other events.NC.M2.S-CP.3Develop and understand independence and conditional probability.NC.M2.S-CP.3aUse a 2-way table to develop understanding of the conditional probability of A given B (written P(A|B)) as the likelihood that A will occur given that B has occurred. That is, P(A|B) is the fraction of event B’s outcomes that also belong to event A.NC.M2.S-CP.3bUnderstand that event A is independent from event B if the probability of event A does not change in response to the occurrence of event B. That is P(A|B)=P(A).NC.M2.S-CP.4Represent data on two categorical variables by constructing a two-way frequency table of data. Interpret the two-way table as a sample space to calculate conditional, joint and marginal probabilities. Use the table to decide if events are independent.NC.M2.S-CP.5Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations.NC.M2.S-CP.6Find the conditional probability of A given B as the fraction of B’s outcomes that also belong to A, and interpret the answer in context.NC.M2.S-CP.7Apply the Addition Rule, P(A or B) = P(A) + P(B) – P(A and B), and interpret the answer in context.NC.M2.S-CP.8Apply the general Multiplication Rule P(A and B) = P(A)P(B|A) = P(B)P(A|B), and interpret the answer in context. Include the case where A and B are independent: P(A and B) = P(A) P(B).
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