To find the probability that a randomly chosen person from this survey dislikes apple juice, we start by determining how many people dislike apple juice out of the total surveyed.
Given:
- Total people surveyed = 150
- People who dislike apple juice = 85
The probability \( P \) that a randomly chosen person dislikes apple juice can be calculated using the formula:
\[ P(\text{dislikes}) = \frac{\text{Number of people who dislike apple juice}}{\text{Total number of people surveyed}} \]
Substituting in the numbers:
\[ P(\text{dislikes}) = \frac{85}{150} \]
Now, we need to simplify the fraction. The greatest common divisor (GCD) of 85 and 150 is 5.
Dividing both the numerator and denominator by their GCD:
\[ \frac{85 \div 5}{150 \div 5} = \frac{17}{30} \]
Thus, the probability that the chosen person dislikes apple juice is:
\[ \frac{17}{30} \]
Now, we express this in simplest form:
The ratio in simplest form is: \[ \boxed{\frac{17}{30}} \]