To find the chance that a randomly chosen person from the survey dislikes apple juice, we need to calculate the ratio of the number of people who dislike apple juice to the total number of people surveyed.
From the information provided:
- Total number of people surveyed = 150
- Number of people who dislike apple juice = 85
The probability that a randomly chosen person dislikes apple juice can be represented as:
\[ \text{Probability} = \frac{\text{Number of people who dislike apple juice}}{\text{Total number of people}} = \frac{85}{150} \]
Next, we need to simplify the fraction \(\frac{85}{150}\).
To simplify, we can find the greatest common divisor (GCD) of 85 and 150:
- The factors of 85 are 1, 5, 17, 85.
- The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150.
- The GCD is 5.
Now divide both the numerator and denominator by their GCD:
\[ \frac{85 \div 5}{150 \div 5} = \frac{17}{30} \]
Thus, the chance that the chosen person dislikes apple juice is:
\[ \frac{17}{30} \]
So the final answer is:
17/30