In this Khan Academy activity, students will practice applying the addition rule in context.

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.

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.

Students use the addition rule to calculate the probability of a union of two events. Students interpret probabilities in context.

Students use the addition rule to calculate the probability of a union of two events. Students interpret probabilities 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