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.
General Information
Subject Area: Mathematics
Grade: 912
Domain-Subdomain: Statistics & Probability: Conditional Probability & the Rules of Probability
Cluster: Level 2: Basic Application of Skills & Concepts
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.

Date Adopted or Revised: 02/14
Date of Last Rating: 02/14
Status: State Board Approved

Related Courses

This benchmark is part of these courses.
1200330: Algebra 2 (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
1200340: Algebra 2 Honors (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
1210300: Probability and Statistics Honors (Specifically in versions: 2014 - 2015, 2015 - 2019, 2019 - 2022 (current), 2022 and beyond)
1200335: Algebra 2 for Credit Recovery (Specifically in versions: 2014 - 2015, 2015 - 2019 (course terminated))
7912095: Access Algebra 2 (Specifically in versions: 2016 - 2018, 2018 - 2019, 2019 and beyond (current))

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.
MAFS.912.S-CP.1.AP.3a: Using a two-way table, find the conditional probability of A given B.
MAFS.912.S-CP.1.AP.3b: Identify when two events are independent. P(A and B) ÷ P(A) = P(B)

Related Resources

Vetted resources educators can use to teach the concepts and skills in this benchmark.

Assessments

Sample 2 - High School Algebra 2 State Interim Assessment:

This is a State Interim Assessment for 9th-12th grades.

Type: Assessment

Sample 3 - High School Algebra 2 State Interim Assessment:

This is a State Interim Assessment for 9th-12th grades.

Type: Assessment

Sample 1 - High School Algebra 2 State Interim Assessment:

This is a State Interim Assessment for 9th-12th grades.

Type: Assessment

Lesson Plans

Modeling Conditional Probabilities 1: Lucky Dip:

This lesson unit is intended to help you assess how well students are able to understand conditional probability, represent events as a subset of a sample space using tables and tree diagrams, and communicate their reasoning clearly.

Type: Lesson Plan

Modeling Conditional Probabilities 2:

This lesson unit is intended to help you assess how well students understand conditional probability, and, in particular, to help you identify and assist students who have the following difficulties representing events as a subset of a sample space using tables and tree diagrams and understanding when conditional probabilities are equal for particular and general situations.

Type: 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

Type: Lesson Plan

Perspectives Video: Expert

Let's Make a Math Deal:

Should I keep my choice or switch?  Learn more about the origins and probability behind the Monty Hall door picking dilemma and how Game Theory and strategy effect the probability.

Download the CPALMS Perspectives video student note taking guide.

Type: Perspectives Video: Expert

Problem-Solving Tasks

Rain and Lightning:

This problem solving task challenges students to determine if two weather events are independent, and use that conclusion to find the probability of having similar weather events under certain conditions.

Type: Problem-Solving Task

Lucky Envelopes:

Students answer questions about the probabilities of independent and dependent events.

Type: Problem-Solving Task

Cards and Independence:

This problem solving task lets students explore the concept of independence of events.

Type: Problem-Solving Task

The Titanic 2:

This task lets students explore the concepts of probability as a fraction of outcomes and using two-way tables of data.

Type: Problem-Solving Task

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.

Type: Teaching Idea

Student Resources

Vetted resources students can use to learn the concepts and skills in this benchmark.

Problem-Solving Tasks

Rain and Lightning:

This problem solving task challenges students to determine if two weather events are independent, and use that conclusion to find the probability of having similar weather events under certain conditions.

Type: Problem-Solving Task

Lucky Envelopes:

Students answer questions about the probabilities of independent and dependent events.

Type: Problem-Solving Task

Cards and Independence:

This problem solving task lets students explore the concept of independence of events.

Type: Problem-Solving Task

The Titanic 2:

This task lets students explore the concepts of probability as a fraction of outcomes and using two-way tables of data.

Type: Problem-Solving Task

Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.

Problem-Solving Tasks

Rain and Lightning:

This problem solving task challenges students to determine if two weather events are independent, and use that conclusion to find the probability of having similar weather events under certain conditions.

Type: Problem-Solving Task

Lucky Envelopes:

Students answer questions about the probabilities of independent and dependent events.

Type: Problem-Solving Task

Cards and Independence:

This problem solving task lets students explore the concept of independence of events.

Type: Problem-Solving Task

The Titanic 2:

This task lets students explore the concepts of probability as a fraction of outcomes and using two-way tables of data.

Type: Problem-Solving Task