To find the chance that a randomly chosen person dislikes apple juice, we need to determine the number of people who dislike apple juice and divide it by the total number of survey participants.
According to the survey:
- Total number of people surveyed = 150
- Number of people who dislike apple juice = 85
The probability (or chance) that a chosen person dislikes apple juice is given by the ratio of people who dislike it to the total number of people surveyed:
\[ \text{Probability} = \frac{\text{Number of people who dislike apple juice}}{\text{Total number of people}} = \frac{85}{150} \]
Now, we simplify the fraction \(\frac{85}{150}\):
- The greatest common divisor (GCD) of 85 and 150 is 5.
- Dividing both the numerator and the denominator by 5 gives:
\[ \frac{85 \div 5}{150 \div 5} = \frac{17}{30} \]
Thus, the chance that the chosen person dislikes apple juice is:
\[ \frac{17}{30} \]
In ratio form, this can be expressed as \(17:30\).
The correct response from the given options is:
\(\frac{17}{30}\) (which corresponds to the option labeled "1730").