help with stats hw

Question

A probability experiment is conducted in which the sample space of the experiment is

Upper S equals StartSet 1 comma 2 comma 3 comma 4 comma 5 comma 6 comma 7 comma 8 comma 9 comma 10 comma 11 comma 12 EndSetS={1,2,3,4,5,6,7,8,9,10,11,12}.

Let event

Upper E equals StartSet 2 comma 3 comma 4 comma 5 comma 6 comma 7 EndSetE={2,3,4,5,6,7}

and event

Upper F equals StartSet 6 comma 7 comma 8 comma 9 EndSet .F={6,7,8,9}.

List the outcomes in E and F. Are E and F mutually​ exclusive?

List the outcomes in E and F. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

Answer 1

I don’t see any choices but here are my answers to your questions:

The list of outcomes of E AND F are the common elements of E and F.

E ∩ F = {6, 7}.

Two sets are mutually exclusive if they don’t have any common elements. Therefore, E and F are not mutually exclusive.