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The Birthday Paradox

The Birthday Paradox

Assessment

Interactive Video

Social Studies, Life Skills

KG - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video explains the birthday paradox, which shows that in a group of 23 people, there's a 50% chance that two people share a birthday, and with 75 people, the chance rises to 99.9%. This counterintuitive result is due to the exponential decrease in the probability of unique birthdays as more people are added. The video details the calculations involved and highlights the large number of possible pairings in a group, which increases the likelihood of shared birthdays.

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3 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the method used to calculate the probability of people not sharing a birthday.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Why do we instinctively think that a 50% chance of shared birthdays is impossible with only 23 people?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What role do combinations play in the birthday paradox?

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