Lesson plan

# Use probability to determine if two events are independent of each other

teaches Common Core State Standards CCSS.Math.Practice.MP1 http://corestandards.org/Math/Practice/MP1
teaches Common Core State Standards CCSS.Math.Practice.MP2 http://corestandards.org/Math/Practice/MP2
teaches Common Core State Standards CCSS.Math.Content.HSS-CP.A.2 http://corestandards.org/Math/Content/HSS/CP/A/2

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Big Ideas: Two events are independent if the occurrence of one does not affect the occurrence of the other. Mutually exclusive events are not independent. The likelihood of an event occurring can be expressed using probability. Students were formally introduced to probability in seventh grade with the standard 7.SP-5 & 7.SP-8. High school standard S-CP.1 provides the basis for understanding independence of events. This lesson provides an introduction to the meaning of independence and is based on S-CP.2 In the Task Launch, students are shown a box containing colored balls and are asked whether picking a ball of one color influences the likelihood of picking a ball of a different color. Here, the students need to base their answer on whether the first ball is replaced into the box or not before the second is picked. In the Task, students are shown a set of data organized in a table and are asked whether two events are independent or not. Vocabulary: independence, mutually exclusive, probability