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 \(\frac{9}{20}\).