The table shows the results of rolling a fair six-sided die. Complete parts (a) through (d) below.
\begin{tabular}{|c|c|c|c|}
\hline $\begin{array}{c}\text { Outcome on } \\
\text { Die }\end{array}$ & $\begin{array}{c}\text { First 100 } \\
\text { Trials }\end{array}$ & $\begin{array}{c}\text { Second 100 } \\
\text { Trials }\end{array}$ & $\mathbf{5 0 0}$ Trials \\
\hline 1 & 20 & 19 & 75 \\
\hline 2 & 22 & 20 & 84 \\
\hline 3 & 15 & 22 & 85 \\
\hline 4 & 22 & 15 & 74 \\
\hline 5 & 11 & 14 & 90 \\
\hline 6 & 10 & 10 & 92 \\
\hline
\end{tabular}
(a) Using the table, find the empirical probability of rolling a 6 for the first 100 trials.
The empirical probability of rolling a 6 for the first 100 trials is (Round to two decimal places as needed.)
Answer
Final Answer: The empirical probability of rolling a 6 for the first 100 trials is \(\boxed{0.1}\) or \(\boxed{10\%}\).
Step 1 ：The empirical probability of an event is calculated by dividing the number of times the event occurred by the total number of trials. In this case, the event is rolling a 6 and it occurred 10 times in the first 100 trials.
Step 2 ：So, the empirical probability is \(\frac{10}{100} = 0.1\) or 10%.
Step 3 ：Final Answer: The empirical probability of rolling a 6 for the first 100 trials is \(\boxed{0.1}\) or \(\boxed{10\%}\).
