A die is tossed and the number showing on the top face is recorded. Let E, F, and G be the following events.
E: The number is at least 3.
F: The number is at most 3.
G: The number is divisible by 2.
(a) Are E and F mutually exclusive? Justify your answer.
(b) Are F and G mutually exclusive? Justify your answer.
(c) Is the certain event? Justify your answer.
(d) Is the impossible event? Justify your answer.
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