Question

Question
A survey taken by 150 people revealed that 65 like apple juice while 85 dislike it. One person is randomly chosen from this group. What is the chance that the chosen person dislikes apple juice? Write your answer as a ratio in simplest form.(1 point)
Responses

1730
Start Fraction 17 over 30 End Fraction

1317
Start Fraction 13 over 17 End Fraction

1330
Start Fraction 13 over 30 End Fraction

65150
Start Fraction 65 over 150 End Fraction

Answer 1

To find the probability that a randomly chosen person dislikes apple juice, we first need to consider how many people dislike it.

From the survey:
- Total number of people surveyed = 150
- Number of people who dislike apple juice = 85

The probability of choosing a person who dislikes apple juice is the number of people who dislike it divided by the total number of people surveyed:

\[
P(\text{dislikes apple juice}) = \frac{\text{Number of people who dislike apple juice}}{\text{Total number of people}} = \frac{85}{150}
\]

Now, we simplify the fraction \( \frac{85}{150} \):

Both 85 and 150 can be divided by 5:

\[
\frac{85 \div 5}{150 \div 5} = \frac{17}{30}
\]

Thus, the probability that a randomly chosen person dislikes apple juice is \( \frac{17}{30} \).

In ratio form, the answer is:

**Start Fraction 17 over 30 End Fraction** (1730).