To determine the probability that a randomly chosen person dislikes apple juice, we first note the total number of people surveyed and how many of them dislike apple juice.
- The total number of people surveyed is 150.
- The number of people who dislike apple juice is 85.
The probability \( P \) that a randomly chosen person dislikes apple juice can be calculated using the formula:
\[ P(\text{dislikes apple juice}) = \frac{\text{Number of people who dislike apple juice}}{\text{Total number of people surveyed}} = \frac{85}{150} \]
Next, we need to simplify the fraction \( \frac{85}{150} \).
First, we find the greatest common divisor (GCD) of 85 and 150. The prime factorization of 85 is \( 5 \times 17 \), and for 150, it is \( 2 \times 3 \times 5^2 \). The common factor is 5.
Now, we divide the numerator and the 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 \( \frac{17}{30} \).
Therefore, the answer is:
\[ \text{17/30} \]
This corresponds to the option:
17/30