List the outcomes in E and G. Are E and G mutually exclusive?

In Problem, a probability experiment is conducted in which the sample space of the experiment is S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. Let event E = {2, 3, 4, 5, 6, 7}, event F = {5, 6, 7, 8, 9}, event G = {9, 10, 11, 12}, and event H = {2, 3, 4}. Assume that each outcome is equally likely.