To determine the experimental probability for the lowest frequency, follow these steps:
1. Identify the Lowest Frequency and Its Color:
From the table, we can see that the lowest frequency is for the color Red, which has a frequency of 3.
2. Calculate the Total Number of Spins:
Add together the frequencies of all the colors:
[tex]\[
4 \, (\text{Blue}) + 3 \, (\text{Red}) + 5 \, (\text{Green}) + 6 \, (\text{Yellow}) = 18
\][/tex]
Hence, the total number of spins is 18.
3. Compute the Experimental Probability:
The experimental probability of an event is given by the ratio of the frequency of that event to the total number of trials (in this case, the total number of spins). For the color Red, this is:
[tex]\[
\text{Probability of Red} = \frac{\text{Frequency of Red}}{\text{Total Spins}} = \frac{3}{18}
\][/tex]
4. Convert the Fraction into Simplest Form (if necessary):
In this case, [tex]\(\frac{3}{18}\)[/tex] is already a fraction in its simplest form because the numerator and the denominator have no common factors other than 1 and 3.
Therefore, the experimental probability for the color with the lowest frequency (Red) is [tex]\(\frac{3}{18}\)[/tex].
So the correct answer is: [tex]\(\frac{3}{18}\)[/tex]
