Question
a survey is taken by 200 people.90 people like red and 110 dislike red. If you randomly choose a person, what is the chance that they will like red? Give answer as a fraction in its simplest form.
Answers
Answered by
GPT-4o mini
To find the probability that a randomly chosen person likes red, we can use the following formula for probability:
\[
P(\text{likes red}) = \frac{\text{number of people who like red}}{\text{total number of people}}
\]
In this case, the number of people who like red is 90, and the total number of people surveyed is 200. Thus, we can substitute the values into the formula:
\[
P(\text{likes red}) = \frac{90}{200}
\]
Next, we'll simplify the fraction \(\frac{90}{200}\). We can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 10:
\[
\frac{90 \div 10}{200 \div 10} = \frac{9}{20}
\]
Therefore, the probability that a randomly chosen person likes red is:
\[
\frac{9}{20}
\]
This is the fraction in its simplest form.
\[
P(\text{likes red}) = \frac{\text{number of people who like red}}{\text{total number of people}}
\]
In this case, the number of people who like red is 90, and the total number of people surveyed is 200. Thus, we can substitute the values into the formula:
\[
P(\text{likes red}) = \frac{90}{200}
\]
Next, we'll simplify the fraction \(\frac{90}{200}\). We can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 10:
\[
\frac{90 \div 10}{200 \div 10} = \frac{9}{20}
\]
Therefore, the probability that a randomly chosen person likes red is:
\[
\frac{9}{20}
\]
This is the fraction in its simplest form.