To find the probability that a randomly chosen person dislikes apple juice, we first note that there are 150 people in total.
From the survey:
- 65 people like apple juice.
- 85 people dislike apple juice.
Since we are interested in the people who dislike apple juice:
- The number of people who dislike apple juice = 85.
Now, we can calculate the probability that a randomly chosen person dislikes apple juice:
\[ \text{Probability (dislikes apple juice)} = \frac{\text{Number who dislike}}{\text{Total number of people}} = \frac{85}{150}. \]
Next, we simplify this fraction. The greatest common divisor (GCD) of 85 and 150 is 5.
Now, we divide both the numerator and the denominator by 5:
\[ \frac{85 \div 5}{150 \div 5} = \frac{17}{30}. \]
Thus, the chance that the chosen person dislikes apple juice is:
\[ \frac{17}{30}. \]
In ratio form, the answer is 17:30.