Solving Statistics Problem: Proving at Least 2 People with Same Hair Count

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In summary, the problem is to prove that in a city with 10 million people, there will be at least 2 people with the same number of hairs, and the solution involves using the pigeonhole principle.
  • #1
Taturana
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Homework Statement



There is a city with 10 million people and an average human has 110 000 hairs. Prove that there is at least 2 people with the same amount of hair.

The Attempt at a Solution



I really have no idea of how to even start solving this problem. Sorry.

Also, sorry for the bad english.
 
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  • #2
Taturana said:

Homework Statement



There is a city with 10 million people and an average human has 110 000 hairs. Prove that there is at least 2 people with the same amount of hair.

The Attempt at a Solution



I really have no idea of how to even start solving this problem. Sorry.

Also, sorry for the bad english.

Is it possible to have 10 million people, all of whom have different numbers of hairs?

RGV
 

What is the purpose of proving at least 2 people with the same hair count in statistics?

The purpose of this problem is to understand the concept of probability and its application in real-life situations. It also helps to develop critical thinking skills and logical reasoning.

What are the steps involved in solving this statistics problem?

The first step is to gather data on the hair count of a group of people. Then, calculate the probability of two people having the same hair count using the formula P = n(n-1)/2N, where n is the number of people with a specific hair count and N is the total number of people. Finally, compare the calculated probability with a predetermined threshold to determine if at least two people have the same hair count.

What are the common challenges faced while solving this problem?

One of the common challenges is collecting accurate data on the hair count of a group of people. Another challenge is understanding the concept of probability and how to apply it in this problem. Additionally, determining the appropriate threshold for comparison can also be a challenge.

How can this problem be applied in real-life scenarios?

This problem can be applied in various fields, such as market research, genetics, and social sciences. For example, in market research, this problem can be used to understand the likelihood of two people having the same product preference. In genetics, it can be used to determine the probability of two individuals sharing the same genetic trait. In social sciences, it can be used to analyze the likelihood of two people having the same opinion on a particular topic.

What are some resources for further understanding and practicing this type of statistics problem?

There are many online resources, such as tutorials, practice problems, and videos, that can help in understanding and practicing this type of statistics problem. Additionally, textbooks and courses on probability and statistics can also provide comprehensive explanations and practice exercises for this problem.

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