To find the probability that a randomly chosen person from the survey likes red, we can use the following formula for probability:
\[ P(\text{liking red}) = \frac{\text{number of people who like red}}{\text{total number of people surveyed}} \]
From the information provided:
- Number of people who like red = 90
- Total number of people surveyed = 200
Now we can substitute the values into the formula:
\[ P(\text{liking red}) = \frac{90}{200} \]
To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 10:
\[ \frac{90 \div 10}{200 \div 10} = \frac{9}{20} \]
Thus, the probability that a randomly chosen person likes red is
\[ \frac{9}{20} \]
in simplest form.