HS.S-CP

HS.S-CP

HS.S-CP.1Describe 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 (“or,” “and,” “not”).HS.S-CP.2Understand 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. Apply the formula P(A and B) = P(A) * P(B) given that event A and B are independent.HS.S-CP.3Understand that the conditional probability of an event A given B is the probability that event A will occur given the knowledge that event B has already occurred. Apply the formula P(A given B) = P(A and B)/P(B) given a conditional probability situation.HS.S-CP.4Construct and interpret two-way frequency tables of data when two categories are associated with each object being classified. Use the two-way table as a sample space to decide if events are independent and to approximate conditional probabilities.HS.S-CP.5Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations.HS.S-CP.6Find the conditional probability of A given B and interpret the answer in terms of the model.HS.S-CP.7Apply the Addition Rule, P(A or B) = P(A) + P(B) - P(A and B), and interpret the answer in terms of the model.HS.S-CP.8Apply the general Multiplication Rule in a uniform probability model, P(A or B) = P(A) + P(B) - P(A and B), and interpret the answer in terms of the model.HS.S-CP.9Use permutations and combinations to determine the number of outcomes in terms of the model. (+) Use permutations and combinations to compute probabilities of compound events and solve problems.
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