Question

A survey taken by 150 ppl reveal dat 65 like apple juice white 85 dislike it. 1 person dis randomly chosen from dis group juice? Write ur answer as a ratio in simplest from

A ) 13/17

B ) 65/150

C ) 17/30

D ) 13/30

Answer 1

To find the probability that a randomly chosen person from the group likes apple juice, we need to know how many people like apple juice out of the total surveyed.

From the survey:
- Total people surveyed: 150
- People who like apple juice: 65
- People who dislike apple juice: 85

Now, let's check if the numbers add up:
65 (like) + 85 (dislike) = 150 (total), which is correct.

The probability (P) that a randomly selected person likes apple juice can be calculated as:

\[
P(\text{likes apple juice}) = \frac{\text{Number of people who like apple juice}}{\text{Total number of people surveyed}} = \frac{65}{150}
\]

Now, we simplify the fraction \( \frac{65}{150} \):

- The greatest common divisor (GCD) of 65 and 150 is 5.
- Dividing both the numerator and the denominator by 5:

\[
\frac{65 \div 5}{150 \div 5} = \frac{13}{30}
\]

Thus, the probability that a randomly selected person likes apple juice is \( \frac{13}{30} \).

So the answer is **D) 13/30**.