To determine the experimental probability for the lowest frequency, we start by analyzing the given data from Marcus's experiment:
- Blue: 4 times
- Red: 3 times
- Green: 5 times
- Yellow: 6 times
First, we need to identify the lowest frequency among the colors. From the given data:
- Frequency of Blue: 4
- Frequency of Red: 3
- Frequency of Green: 5
- Frequency of Yellow: 6
The lowest frequency is 3, which corresponds to the color Red.
Next, we find the total number of spins. The total number of spins is the sum of the frequencies of all colors:
[tex]\[
4 \, (\text{Blue}) + 3 \, (\text{Red}) + 5 \, (\text{Green}) + 6 \, (\text{Yellow}) = 18
\][/tex]
Now, we calculate the experimental probability of landing on the color with the lowest frequency (Red). The experimental probability is given by the ratio of the frequency of the event to the total number of trials (spins):
[tex]\[
\text{Experimental Probability} = \frac{\text{Frequency of Red}}{\text{Total Number of Spins}} = \frac{3}{18}
\][/tex]
Therefore, the experimental probability for the lowest frequency, which is Red, is:
[tex]\[
\frac{3}{18}
\][/tex]
Hence, the correct answer is:
[tex]\[
\frac{3}{18}
\][/tex]
