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Answer:
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2.
a. The union of events A and B is the combination of all the elements in set A and set B without any duplication. Therefore, the union of events A and B is AUB = {4, 5, 6, 7, 8, 9, 10, 11, 12, 13}.
b. The union of events A and B is AUB = {1, 2, 3, 4, 5, 6} because the element 2 and 4 (which are common in both sets) are only counted once in the union.
c. The union of events A and B is AUB = {a, b, c, d, e, f} because there are no elements in both sets that are duplicates.
3.
a. The intersection of events A and B is the set of elements that are common in both set A and set B. Therefore, the intersection of events A and B is A ∩ B = {3, 4, 5}.
b. The intersection of events A and B is A ∩ B = {} because there are no common elements between the two sets.
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