Access Point #: MAFS.912.S-CP.1.AP.3a (Archived Access Point)


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Using a two-way table, find the conditional probability of A given B.

Clarifications:

Essential Understandings

Concrete:

  • Create a two-way table using objects/manipulatives.

    Example of a two-way table.
  • List the possible combinations to create a two-way table (e.g., using one male figurine, twelve matchbox cars, and eight toy SUV’s to model the probability of the type of car given the customer is a male).
Representation:
  • Understand that a two-way table looks at sub groups within the whole group. For example, looking at how boys scored on a test verses how girls scored on the same test.
  • Use this two-way table to determine specific probabilities. E.g., the probability of the owner being female given a sports car is 45 out of 84 or 0.54.

    Example of a two-way table.
  • Use this two-way table to determine specific probabilities. E.g., the probability of choosing a sports car given they are a male in the table below is 39 out of 60 or 0.65.

    Example of a two-way table.

Number: MAFS.912.S-CP.1.AP.3a Category: Access Points
Date Adopted or Revised: 06/14 Cluster: Understand independence and conditional probability and use them to interpret data. (Algebra 2 - Additional Cluster)

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Related Standards

Name Description
MAFS.912.S-CP.1.3: 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 A is the same as the probability of B.



Related Courses

Name Description
1200330: Algebra 2
1200340: Algebra 2 Honors
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1200335: Algebra 2 for Credit Recovery
7912095: Access Algebra 2