Marcus 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.

\begin{tabular}{|c|c|}
\hline
Result & Frequency \\
\hline
Blue & 4 \\
\hline
Red & 3 \\
\hline
Green & 5 \\
\hline
Yellow & 6 \\
\hline
\end{tabular}

What is the experimental probability for the lowest frequency?

A. [tex]$\frac{3}{18}$[/tex]

B. [tex]$\frac{4}{18}$[/tex]

C. [tex]$\frac{18}{4}$[/tex]



Answer :

To determine the experimental probability for the lowest frequency from the given data, follow these steps:

1. List the frequencies for each color:
- Blue: 4
- Red: 3
- Green: 5
- Yellow: 6

2. Find the total number of spins: This is done by summing up the frequencies of all the colors.
[tex]\[ 4 + 3 + 5 + 6 = 18 \][/tex]
Hence, the total number of spins is 18.

3. Identify the smallest frequency: From the given frequencies, the smallest frequency is for the color Red, which has a frequency of 3.

4. Calculate the experimental probability for the lowest frequency: Experimental probability is given by the ratio of the frequency of the specific event to the total number of trials/spins.
[tex]\[ \text{Experimental Probability} = \frac{\text{Frequency of the event}}{\text{Total number of trials}} \][/tex]
For the lowest frequency, this becomes:
[tex]\[ \text{Experimental Probability} = \frac{3}{18} \][/tex]

Thus, the correct answer is:
[tex]\[ \boxed{\frac{3}{18}} \][/tex]