To find the probability that a randomly chosen person dislikes apple juice, we need to use the total number of people surveyed and the number of people who dislike apple juice.
From the survey:
- Total people surveyed = 150
- People who dislike apple juice = 85
The probability (P) that a chosen person dislikes apple juice is given by the ratio of the number of people who dislike it to the total number of people surveyed:
\[ P(\text{dislikes apple juice}) = \frac{\text{Number of people who dislike apple juice}}{\text{Total number of people surveyed}} = \frac{85}{150} \]
Next, we need to simplify the fraction \(\frac{85}{150}\).
- Find the greatest common divisor (GCD) of 85 and 150; it is 5.
- Now divide both the numerator and the denominator by 5:
\[ \frac{85 \div 5}{150 \div 5} = \frac{17}{30} \]
So, the probability that the chosen person dislikes apple juice in simplest form is:
\[ \frac{17}{30} \]
Thus, the answer is:
Start Fraction 17 over 30 End Fraction