To determine the experimental probability that the next time the spinner is spun, it lands on yellow, we need to use the given data from the table. The experimental probability is calculated as the ratio of the number of successful outcomes to the total number of trials.
Given:
- The spinner was spun 30 times in total.
- The number of times it landed on yellow: 8 times.
The formula for experimental probability is:
[tex]\[ P(\text{Yellow}) = \frac{\text{Number of times the spinner lands on yellow}}{\text{Total number of spins}} \][/tex]
Plugging in the given numbers:
[tex]\[ P(\text{Yellow}) = \frac{8}{30} \][/tex]
Next, simplify the fraction:
[tex]\[ \frac{8}{30} = \frac{4}{15} \][/tex]
Thus, the experimental probability that the next time the spinner is spun, it lands on yellow is [tex]\( \frac{4}{15} \)[/tex].
Now, let's compare this value with the provided options:
A. [tex]\( \frac{4}{15} \)[/tex]
B. [tex]\( \frac{7}{30} \)[/tex]
C. [tex]\( \frac{1}{5} \)[/tex]
D. [tex]\( \frac{3}{10} \)[/tex]
The matching option is clearly:
[tex]\[ A. \frac{4}{15} \][/tex]
Therefore, the correct answer is:
[tex]\[ \boxed{\frac{4}{15}} \][/tex]
