Question: 1. Consider a sample space S. Let A and B be any two events in S. Write the expressions in terms of unions, interactions, and

1. Consider a sample space S. Let A and B be any two events in S. Write the expressions in terms of unions, interactions, and complements for the following events:

(a) At least one of the events A or B occurs.

(b) Both events A and B occur.

(c) Neither A nor B occurs.

(d) Exactly one of the events A or B occurs.

(e) At most one of the events A or B occurs.

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