Step 1 :The outcomes in events E and F are given by E = \{2, 3, 4, 5, 6, 7\} and F = \{8, 9, 6, 7\}.
Step 2 :The common outcomes in events E and F can be found by finding the intersection of the two sets, which gives \{6,7\}.
Step 3 :Two events are said to be mutually exclusive if they cannot occur at the same time, i.e., the intersection of the events is an empty set.
Step 4 :Checking the intersection of E and F, we find that it is not an empty set.
Step 5 :Therefore, E and F are not mutually exclusive because they have outcomes in common.
Step 6 :Final Answer: The outcomes in E and F are \(\boxed{\{6,7\}}\). E and F are not mutually exclusive, so the answer is \(\boxed{\text{D. No. E and F have outcomes in common.}}\)