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

65150
Start Fraction 65 over 150 End Fraction

1317
Start Fraction 13 over 17 End Fraction

1330

1 answer

To find the chance that a randomly chosen person from the survey dislikes apple juice, we need to determine the ratio of the number of people who dislike apple juice to the total number of people surveyed.

From the survey data:

  • Total number of people = 150
  • Number of people who dislike apple juice = 85

The probability (or chance) that a randomly chosen person dislikes apple juice is calculated as:

\[ \text{Probability} = \frac{\text{Number of people who dislike apple juice}}{\text{Total number of people}} = \frac{85}{150} \]

Now, we can simplify this fraction. First, we find the greatest common divisor (GCD) of 85 and 150. It turns out that the GCD is 5.

Now, we divide both the numerator and denominator by 5:

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

So, the chance that the chosen person dislikes apple juice is:

\[ \frac{17}{30} \]

Therefore, the answer is:

\[ \text{Start Fraction 17 over 30 End Fraction} \]