Problem 3: (35 points) Express each of the following events in terms of the events A, B and C as well as the operations
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Problem 3: (35 points) Express each of the following events in terms of the events A, B and C as well as the operations
Problem 3: (35 points) Express each of the following events in terms of the events A, B and C as well as the operations of complementation, union and intersection: 1. at least one of the events A, B, C occurs; 2. at most one of the events A, B, C occurs; 3. none of the events A, B, C occurs; 4. all three events A, B, С occur; 5. exactly one of the events A, B, C occurs; 6. events A and B occur, but not C; 7. either event A occurs or, if not, then B also does not occur. In each case draw the corresponding Venn diagram.
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