Step 1 :The outcomes in event E are \{2,3,4,5,6,7\}.
Step 2 :The outcomes in event F are \{6,7,8,9\}.
Step 3 :Two events are mutually exclusive if they cannot both occur at the same time, that is, the intersection of the events is empty.
Step 4 :In this case, the events E and F both include the outcomes 6 and 7, so they are not mutually exclusive.
Step 5 :\(\boxed{\text{The outcomes in E are } \{2,3,4,5,6,7\} \text{ and the outcomes in F are } \{6,7,8,9\}. \text{ The events E and F are not mutually exclusive.}}\)