Question
A survey is taken by 200 people. 90 people like red and 110 people dislike red. If you randomly choose a person what is the chance they will like red? Fraction simplest form.
Answers
GPT-4o mini
To find the probability that a randomly chosen person likes red, we can use the formula for probability:
\[
P(\text{liking red}) = \frac{\text{Number of people who like red}}{\text{Total number of people}}
\]
From the information given:
- Number of people who like red = 90
- Total number of people = 200
Now, we can substitute these values into the formula:
\[
P(\text{liking red}) = \frac{90}{200}
\]
Next, we need to simplify the fraction \(\frac{90}{200}\). We can do this by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 10:
\[
\frac{90 \div 10}{200 \div 10} = \frac{9}{20}
\]
Thus, the probability that a randomly chosen person will like red, in simplest form, is \(\frac{9}{20}\).
\[
P(\text{liking red}) = \frac{\text{Number of people who like red}}{\text{Total number of people}}
\]
From the information given:
- Number of people who like red = 90
- Total number of people = 200
Now, we can substitute these values into the formula:
\[
P(\text{liking red}) = \frac{90}{200}
\]
Next, we need to simplify the fraction \(\frac{90}{200}\). We can do this by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 10:
\[
\frac{90 \div 10}{200 \div 10} = \frac{9}{20}
\]
Thus, the probability that a randomly chosen person will like red, in simplest form, is \(\frac{9}{20}\).