Generic events in set notation?

Let A, B, C be events in some sample space S. Using set notation, express the events:


1)At least two of A, B, and C happen


2)At most one of A, B, and C happen


3)Exactly one of A, B, and C happen

Generic events in set notation?
NOTE


%26amp; means intersection and nA means "non A" or "complementary of A"





1. (A%26amp;B%26amp;C) U (nA%26amp;B%26amp;C) U (A%26amp;nB%26amp;C) U (A%26amp;B%26amp;nC)





2. (nA %26amp; nB %26amp; nC) U (A%26amp; nB %26amp; nC) U (nA %26amp;B%26amp; nC) U (nA %26amp; nB%26amp;C)





3. (A%26amp; nB %26amp; nC) U (nA %26amp;B%26amp; nC) U (nA %26amp; nB%26amp;C)





Cheers!!