Step 1 :The sample space of the experiment is $S=\{9,10,11,12,13,14,15,16,17,18,19,20\}$ and event $E=\{12,13,14,15,16,17,18,19,20\}$.
Step 2 :The complement of an event E, denoted by $E^C$, is the set of all outcomes in the sample space that are not in E.
Step 3 :So, we need to find the elements in the sample space S that are not in E. The outcomes in $E^{C}$ are $\{9,10,11\}$.
Step 4 :We can calculate the probability of $E^C$ by dividing the number of outcomes in $E^C$ by the total number of outcomes in the sample space S. Since each outcome is equally likely, this will give us the correct probability.
Step 5 :The probability of $E^C$ is $\frac{3}{12}=0.25$.
Step 6 :So, the outcomes in $E^{C}$ are $\boxed{\{9,10,11\}}$ and $P\left(E^{C}\right)=\boxed{0.25}$.