Question: 1. Let S = {1, 2, 3, 4, 5, 6} be a sample space, E = {1, 2} F = {2, 3} G = {,

1. Let S = {1, 2, 3, 4, 5, 6} be a sample space,
E = {1, 2} F = {2, 3} G = {, 5, 6}.
(a) Are E and F mutually exclusive?
(b) Are F and G mutually exclusive?
2. Draw the events E and E on two separate Venn diagrams. Are E and E mutually exclusive?
3. Let S = {a, b, c} be a sample space. Determine all possible events associated with S.
4. Let S be a sample space with n outcomes. How many events are associated with S?

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