Common Core Standards for How Random Is My Life?

The How Random Is My Life? Project addresses the following Common Core State Standards in High School Geometry. 

Priority Standards

S.CP.3

Understand the conditional probability of A given B as P(A and B)/P(B), and interpret independence of A and B as saying that the conditional probability of A given B is the same as the probability of A, and the conditional probability of B given is the same as the probability of B.

S.CP.5

Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations.

S.CP.6

Find the conditional probability of A given B as the fraction of B’s outcomes that also belong to A, and interpret the answer in terms of the model.

S.MD.6

Use probabilities to make fair decisions (e.g. drawing by lots, using a random number generator).

S.MD.7

Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game).

Supporting Standards

S.CP.1

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 (“or,” “and,” “not”).

S.CP.2

Understand that two events A and B are independent if the probability of and B occurring together is the product of their probabilities, and use this characteristic to determine if they are independent.

S.CP.4

Construct and interpret two-way frequency tables of data when two categories are associated with each object being classified. Use the two-way table as sample space to decide if events are independent and to approximate conditional probabilities.

S.CP.7

Apply the Addition Rule, P(A or B) = P(A) + P(B) – P(A and B), and interpret the answer in the form of a model.

S.CP.8

Apply the general Multiplication Rule in a uniform probability model, P(A and B) = P(A)P(B/A) = P(B)P(A/B), and interpret the answer in terms of the model.

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