This task was developed by high school and postsecondary mathematics and health sciences educators, and validated by content experts in the Common Core State Standards in mathematics and the National Career Clusters Knowledge & Skills Statements. It was developed with the purpose of demonstrating how the Common Core and CTE Knowledge & Skills Statements can be integrated into classroom learning - and to provide classroom teachers with a truly authentic task for either mathematics or CTE courses.

This Khan video solves a conditional probability example with probabilities like P(A|B) where the events are about lunch and breakfast.

The purpose of this task is for students to interpret information provided that allows them to make sense of and organize data in a tree diagram, a two-way table, and a Venn diagram. Students will solidify their understanding of conditional probability by writing statements supported by data collected to justify the flavor of ice cream preferred by most. In this task, students will:
● Organize data into a tree diagram, two-way table, and a Venn diagram
● Calculate probabilities and conditional probabilities 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 ● Highlight the different representations and become more familiar with what each representation highlights and conceals.
● Continue to become more familiar with probability notation.
● Make decisions about meaning of data.

Explanation on how to determine compound probability and express compound probability as a set and subset

A purpose of this task is for students to gain a stronger understanding the law of large numbers and how this helps to estimate probable outcomes. Another purpose is for students to solidify their understanding around the following ideas:
● Whether or not there is enough data to estimate outcomes.
● Distinguish between a general probability, a conditional probability, and the addition rule.
● Use a Venn diagram to analyze data and to write various probability statements (unions, intersections, complements).
● Apply the Addition Rule and interpret the answer in terms of the model.
● Use estimated outcomes to make recommendations and decisions.

Students use the general multiplication rule to calculate the probability of the intersection of two events. Students interpret probabilities in context.

Texas Instruments activity where students use a simulation to find the experimental probability of independent events.

This is a project that follows the PBL framework and was used to help students master the fundamentals of probability, specifically the laws of probability (NC.M2.S-CP.1 to 8). Note that the project was designed and delivered per the North Carolina Math 2 curriculum and it can be customized to meet your own specific curriculum needs and resources.

This video includes four worked out examples dealing with probability. The video includes Addition Rule of Probability, Multiplication Rule and Conditional Probabilities.

The purpose of this task is for students to analyze and make sense of data. Students will connect their prior understandings of tree diagrams and frequency tables (from earlier grades) to analyze data from a tree diagram and explain the results to others. The focus of this task is to highlight the information revealed as a result of the conditional probability statements. Questions such as ‘How does the subgroup information tell us a more complete story?’ should be addressed in this task.

In this Khan Academy activity, students will use two way tables to answer problems in context.

The purpose of this task is to have students create and analyze attributes of Venn diagrams, then make sense of the data. Students will add academic vocabulary (mutually exclusive, joint, disjoint) and will distinguish between conditional probability and using the addition rule. At the end of the task, students will be able to:
● Create Venn Diagrams that highlight specific data.
● Understand mutually exclusive, joint (intersection), and the Addition Rule using Venn diagrams.
● Distinguish between conditional probability and the Addition Rule.
● Get out vocabulary such as joint, disjoint, mutually exclusive, Addition Rule, and conditional probability.
● Analyzing data from a two way table and from probability notation to create various Venn Diagrams

Class activity that teaches students about independent and conditional probability using the Multiplication rule