Standard #: MAFS.912.S-CP.1.3


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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: 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

Course Number1111 Course Title222
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

Access Point Number Access Point Title
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

Assessments

Name Description
Sample 2 - High School Algebra 2 State Interim Assessment

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

Sample 3 - High School Algebra 2 State Interim Assessment

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

Sample 1 - High School Algebra 2 State Interim Assessment

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

Lesson Plans

Name Description
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.
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.
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

Perspectives Video: Expert

Name Description
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.

Problem-Solving Tasks

Name Description
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.

Lucky Envelopes

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

Cards and Independence

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

The Titanic 2

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

Teaching Idea

Name Description
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.

Student Resources

Problem-Solving Tasks

Name Description
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.

Lucky Envelopes:

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

Cards and Independence:

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

The Titanic 2:

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



Parent Resources

Problem-Solving Tasks

Name Description
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.

Lucky Envelopes:

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

Cards and Independence:

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

The Titanic 2:

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



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