Education Technology

# Activities

• ##### Subject Area

• Math: Algebra II: Probability

9-12

45 Minutes

• ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™ Navigator™
• ##### Software

TI-Nspire™ CX
TI-Nspire™ CX CAS

4.5

## Birthday Problem

#### Activity Overview

Investigate the probability of two people having the same birthday in a crowd of a given size.

#### Objectives

• Describe how sampling a population with N objects works
• Use the complement of an event to determine probability of an event not occurring

• event
• series
• probability

#### About the Lesson

This lesson involves investigating the probability of two people having the same birthday in a crowd of a given size. Topics covered include basic probability theory, sampling distributions and infinite series approximations. As a result, students will:

• Be able to use probability to determine the likelihood of two people having the same birthday in a crowd of a given size.
• Be able to justify the probability of two people having the same birthday.