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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. ★
Standard #: MAFS.912.S-CP.2.6Archived Standard
Standard Information
General Information
Subject Area: Mathematics
Grade: 912
Domain-Subdomain: Statistics & Probability: Conditional Probability & the Rules of Probability
Cluster: Use the rules of probability to compute probabilities of compound events in a uniform probability model. (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.
Date Adopted or Revised: 02/14
Content Complexity Rating: Level 2: Basic Application of Skills & Concepts - More Information
Date of Last Rating: 02/14
Status: State Board Approved - Archived
Related Courses
Related Resources
Lesson Plan
  • Medical Testing # This lesson unit is intended to help you assess how well students are able to:
    • make sense of a real life situation and decide what math to apply to the problem
    • understand and calculate the conditional probability of an event A, given an event B, and interpret the answer in terms of a model
    • represent events as a subset of a sample space using tables, tree diagrams, and Venn diagrams
    • interpret the results and communicate their reasoning clearly
Problem-Solving Tasks
  • How Do You Get to School? # This task requires students to use information in a two-way table to calculate a probability and a conditional probability.
  • The Titanic 2 # This task lets students explore the concepts of probability as a fraction of outcomes using two-way tables.
  • The Titanic 1 # This task asks students to calculate probabilities using information presented in a two-way frequency table.
  • The Titanic 3 # This problem solving task asks students to determine probabilities and draw conclusions about the survival rates on the Titanic using a table of data.
  • Unexpected Answers # This lesson is designed to introduce students to statistical situations where the probabilities or outcomes might not be what is first expected. The lesson provides links to discussions and activities motivated by the idea of unexpected answers. Finally, the lesson provides links to follow-up lessons designed for use in succession with an introduction to probability and unexpected answers in probability.
Teaching Idea
  • Conditional Probability and Probability of Simultaneous Events # This lesson is designed to further students' practice with probability as well as introduce them to conditional probability and probabilities of simultaneous independent events. The lesson provides links to discussions and activities related to conditional and simultaneous probabilities as well as suggested ways to integrate them into the lesson. Finally, this lesson provides links to follow-up lessons designed for use in succession with this one.
Text Resource
  • The Logic of Drug Testing # This informational text resource is intended to support reading in the content area. This article explores the reliability of drug tests for athletes, using mathematics. The author attempts to address this issue by relating drug tests to conditional probability. Throughout the text, various numbers that affect the calculation of a reliable probability are discussed. Numbers such as test sensitivity, test specificity, and weight of evidence are related to Bayes' theorem, which is ultimately used to calculate the conditional probability.
Worksheet
  • Replacement and Probability # This lesson is designed to develop students' understanding of sampling with and without replacement and its effects on the probability of drawing a desired object. The lesson provides links to discussions and activities related to replacement and probability as well as suggested ways to work them into the lesson. Finally, the lesson provides links to follow-up lessons that are designed to be used in succession with the current one.
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