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

1330
Start Fraction 13 over 30 End Fraction

1317
Start Fraction 13 over 17 End Fraction

65150
Start Fraction 65 over 150 End Fraction

1730
Start Fraction 17 over 30 End Fraction

1 answer

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

From the information given:

  • 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 calculated as follows:

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

Now, let's simplify this fraction:

  1. Find the greatest common divisor (GCD) of 85 and 150. The GCD is 5.
  2. Divide both the numerator and the denominator by 5:

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

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

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

This is already in simplest form.

Therefore, the answer is:

\[ \text{Start Fraction 17 over 30 End Fraction} \] which corresponds to:

1730