A2P.DPSR.1: Understand independence and conditional probability and use them to interpret data.

Understand independence and conditional probability and use them to interpret data.

A2P.DPSR.1.1Describe events as subsets of a sample space using characteristics or categories of the outcomes, or as unions, intersections, or complements of other events.A2P.DPSR.1.2Explain whether two events, A and B, are independent if and only if the probability of A and B occurring together is the product of their probabilities and use this characterization to determine if they are independent.A2P.DPSR.1.3Determine whether 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 A is the same as the probability of B in mathematical and real-world situations.A2P.DPSR.1.4Recognize and explain the concepts of conditional probability and independence.

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