Respuesta :
In order to solve this questions we first have to arrange the given data in a Two Way table.
Out of 1000 people 500 are members of the choir and 500 are not members of choir. Out of 500 members 100 are men so 400 are not men. Out of 500 which are not the members 300 are men, so 200 are not men. The data is arranged in the image below.
We want to find the probability that a randomly drawn man is a member of the choir.
Total members of the choir = 500
Men which are members of the choir = 100
So, the probability that a randomly drawn man is a member of the choir = 100/500 = 0.20 = 20%
Out of 1000 people 500 are members of the choir and 500 are not members of choir. Out of 500 members 100 are men so 400 are not men. Out of 500 which are not the members 300 are men, so 200 are not men. The data is arranged in the image below.
We want to find the probability that a randomly drawn man is a member of the choir.
Total members of the choir = 500
Men which are members of the choir = 100
So, the probability that a randomly drawn man is a member of the choir = 100/500 = 0.20 = 20%
The probability that a randomly drawn man is a member of the choir is [tex]\boxed{25\% }.[/tex]
Further explanation:
The probability can be obtained as the ratio of favorable number of outcomes to the total number of outcomes.
[tex]\boxed{{\text{Probability}} =\frac{{{\text{Favorable number of outcome}}}}{{{\text{Total number of outcomes}}}}}[/tex]
Given:
There are 1000 people in a small town, 500 are members of choir. Out of which 100 are men.
There are 500 inhabitants that are not in a choir.
Explanation:
There are total 1000 members.
The number of men that are member of choir is 100.
There are 500 members in a choir and 100 members are men.
The total number of man is [tex]300 + 100 = 400.[/tex]
Consider an event A man is a member of choir.
Consider an event B that man is randomly selected.
The probability of event A can be calculated as follows,
[tex]P\left( {A \cap B} \right) =\dfrac{{100}}{{1000}}[/tex]
The probability of event B can be calculated as follows,
[tex]P\left( B \right) = \dfrac{{400}}{{1000}}[/tex]
The probability that a randomly drawn man is a member of the choir can be expressed as follows,
[tex]\begin{aligned}{\text{Probability}}&= \dfrac{{P\left( {A \cap B} \right)}}{{P\left( B \right)}} \\&=\dfrac{{\dfrac{{100}}{{1000}}}}{{\dfrac{{400}}{{1000}}}}\\&= \dfrac{{100}}{{400}}\\&= 0.25\\&= 25\%\\\end{aligned}[/tex]
The probability that a randomly drawn man is a member of the choir is [tex]\boxed{25\% }.[/tex]
Learn more:
1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function https://brainly.com/question/3412497
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Probability
Keywords: small town, inhabitants, member, choir, 500 members, randomly, probability, man, 1000 people, 100 men.
