Certainly! Let's go through the solution step-by-step to determine the experimental probability of landing on a number greater than 5.
### Step 1: Summarize the Given Data
We have a table with outcomes and their respective frequencies:
[tex]\[
\begin{tabular}{|c|l|}
\hline Outcome & Frequency \\
\hline 1 & 12 \\
\hline 2 & 13 \\
\hline 3 & 11 \\
\hline 4 & 6 \\
\hline 5 & 10 \\
\hline 6 & 8 \\
\hline
\end{tabular}
\][/tex]
### Step 2: Calculate the Total Frequency
First, we sum up all the frequencies to get the total number of observations.
[tex]\[
12 + 13 + 11 + 6 + 10 + 8 = 60
\][/tex]
### Step 3: Identify the Frequency of Outcomes Greater Than 5
We need to determine how many times outcomes greater than 5 occurred. From the table, we see that the only outcome greater than 5 is 6, which has a frequency of:
[tex]\[
8
\][/tex]
### Step 4: Calculate the Experimental Probability
The experimental probability of an event is given by the ratio of the frequency of the event to the total frequency. In this case, the event is landing on a number greater than 5.
[tex]\[
\text{Probability} = \frac{\text{Frequency of outcomes greater than 5}}{\text{Total frequency}} = \frac{8}{60}
\][/tex]
### Step 5: Simplify the Fraction (if possible)
To simplify the fraction, we check if 8 and 60 have a common divisor. However, the simplified fraction is not necessary in this context. The probability as a decimal can be calculated as:
[tex]\[
\frac{8}{60} \approx 0.1333
\][/tex]
### Conclusion
Based on the calculations, the experimental probability of landing on a number greater than 5 is:
[tex]\[
\frac{8}{60} \text{ or approximately } 0.1333.
\][/tex]
Therefore, the correct answer is:
[tex]\[
\boxed{\frac{8}{60}}
\][/tex]
The option [tex]$\frac{16}{60}$[/tex] does not apply here since we are only considering outcomes greater than 5, which is solely outcome 6 in the given data.
