To determine the experimental probability for the color with the lowest frequency, let's follow these steps:
1. Identify the frequencies for each color:
- Blue: 4
- Red: 3
- Green: 5
- Yellow: 6
2. Find the total frequency by adding up the frequencies for all colors:
[tex]\[
\text{Total frequency} = 4 (\text{Blue}) + 3 (\text{Red}) + 5 (\text{Green}) + 6 (\text{Yellow}) = 18
\][/tex]
3. Determine which color has the lowest frequency:
- Red has the lowest frequency, which is 3.
4. Calculate the experimental probability of landing on red. The experimental probability is given by the ratio of the frequency of the desired outcome to the total frequency of all outcomes:
[tex]\[
\text{Experimental probability of Red} = \frac{\text{Frequency of Red}}{\text{Total frequency}} = \frac{3}{18}
\][/tex]
5. Simplify the fraction if necessary:
[tex]\[
\frac{3}{18} = \frac{1}{6}
\][/tex]
From the calculations, the experimental probability for the color with the lowest frequency (red) is [tex]\(\frac{3}{18}\)[/tex], which simplifies to [tex]\(\frac{1}{6}\)[/tex]. The relevant option from the provided list is:
[tex]\[
\frac{3}{18}
\][/tex]
