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.
The total number of people surveyed is 150, with 85 of them disliking apple juice.
Therefore, the probability that the chosen person dislikes apple juice is 85/150, which simplifies to 17/30.
show your work
The number of people who dislike apple juice is 85.
The total number of people surveyed is 150.
Therefore, the probability that the randomly chosen person dislikes apple juice is:
\[
\frac{85}{150} = \frac{17}{30}
\]
So, the chance that the chosen person dislikes apple juice is \(\frac{17}{30}\) or \(17:30\).
little more clear
To calculate the probability that the chosen person dislikes apple juice, we first determine the number of people who dislike apple juice out of the total number surveyed.
Number of people who dislike apple juice: 85
Total number of people surveyed: 150
So, the probability is given by:
\[
\frac{\text{Number of people who dislike apple juice}}{\text{Total number of people surveyed}} = \frac{85}{150}
\]
Simplify the fraction by dividing top and bottom by the greatest common divisor:
\[
\frac{85}{150} = \frac{17 \cdot 5}{30 \cdot 5} = \frac{17}{30}
\]
Therefore, the chance that the chosen person dislikes apple juice is expressed as a ratio in simplest form: 17:30.