To find the probability that a randomly chosen person dislikes apple juice, we can use the following steps:
- Determine how many people dislike apple juice, which is given as 85 people.
- The total number of people surveyed is 150.
- The probability \( P \) that a chosen person dislikes apple juice is given by the formula:
\[ P(\text{dislikes apple juice}) = \frac{\text{Number of people who dislike apple juice}}{\text{Total number of people surveyed}} = \frac{85}{150} \]
- Now we simplify the ratio \( \frac{85}{150} \).
To simplify \( \frac{85}{150} \):
- The greatest common divisor (GCD) of 85 and 150 is 5.
- Divide both the numerator and the denominator by 5:
\[ \frac{85 \div 5}{150 \div 5} = \frac{17}{30} \]
Thus, the simplified ratio of the probability that a chosen person dislikes apple juice is \( \frac{17}{30} \).
The answer is:
17/30 or Start Fraction 17 over 30 End Fraction.