a survey taken by 150 people revealed that 65 like apple juice while 85 dislike it. one person is randomly…

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)\n\n$\frac{13}{30}$\n\n$\frac{13}{17}$\n\n$\frac{65}{150}$\n\n$\frac{17}{30}$

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)\n\n$\frac{13}{30}$\n\n$\frac{13}{17}$\n\n$\frac{65}{150}$\n\n$\frac{17}{30}$

Answer

Explanation:

Step1: Identify total and favorable outcomes

Total number of people is 150, number of people who dislike apple - juice is 85.

Step2: Calculate the probability as a ratio

The probability (P) that a randomly - chosen person dislikes apple juice is the ratio of the number of people who dislike apple juice to the total number of people. So (P=\frac{85}{150}).

Step3: Simplify the ratio

Find the greatest common divisor (GCD) of 85 and 150. The GCD of 85 and 150 is 5. Divide both the numerator and the denominator by 5: (\frac{85\div5}{150\div5}=\frac{17}{30}).

Answer:

(\frac{17}{30})