A probability experiment is conducted in which the sample space of the experiment is $S=\{6,7,8,9,10,11,12,13,14,15,16,17\}$. Let event $E=\{6,7,8,9,10,11,12,13\}$. Assume each outcome is equally likely. List the outcomes in $E^{C}$. Find $P\left(E^{C}\right)$. List the outcomes in $\mathrm{E}^{\mathrm{C}}$. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $E^{c}=\{\}$ (Use a comma to separate answers as needed.) B. $E^{C}=\{\}$

Step 1 ：The sample space S is \(S=\{6,7,8,9,10,11,12,13,14,15,16,17\}\).

Step 2 ：The event E is \(E=\{6,7,8,9,10,11,12,13\}\).

Step 3 ：The complement of event E, denoted as \(E^{C}\), is the set of outcomes in the sample space that are not in the event.

Step 4 ：So, we need to find the outcomes in the sample space S that are not in event E.

Step 5 ：The outcomes in \(E^{C}\) are \(E^{C}=\{14, 15, 16, 17\}\).

Step 6 ：Now, we need to find the probability of \(E^{C}\), which is the number of outcomes in \(E^{C}\) divided by the number of outcomes in the sample space S.

Step 7 ：The probability of \(E^{C}\) is \(P(E^{C}) = \frac{4}{12} = 0.333\).

Step 8 ：Final Answer: The outcomes in \(E^{C}\) are \(E^{C}=\{14, 15, 16, 17\}\). The probability of \(E^{C}\) is \(\boxed{0.333}\).