Question

Iliana performed an experiment by spinning a spinner a set number of times and noting the color on which the spinner landed. The table below shows the results.

Result
Frequency
Blue
7
Red
9
Green
6
Yellow
8

What is the experimental probability for the highest frequency?
StartFraction 4 over 30 EndFraction
StartFraction 9 over 30 EndFraction
StartFraction 30 over 9 EndFraction
StartFraction 30 over 4 EndFraction

Answer 1

To find the experimental probability for the color with the highest frequency, we first need to identify which color has the highest frequency. From the given data:

- Blue: 7
- Red: 9
- Green: 6
- Yellow: 8

The highest frequency is for Red, which has a frequency of 9.

Next, we find the total number of spins:

\[
\text{Total spins} = 7 + 9 + 6 + 8 = 30
\]

Now, to determine the experimental probability of landing on Red (the color with the highest frequency), we use the formula for probability:

\[
\text{Probability} = \frac{\text{Frequency of the event}}{\text{Total frequency}}
\]

For Red:

\[
\text{Probability of Red} = \frac{9}{30}
\]

Looking at the answer choices, the correct option for the experimental probability for the highest frequency is:

\[
\boxed{\frac{9}{30}}
\]