Let A,B,C € F be events for a sample space 2, A, B,C C Q. Determine whether each
of the following statements is true or false, and draw clearly-labelled Venn diagrams to
illustrate the situation appropriately.
(a) AUBUC = (A\B)U(B\C)U(C\A)UANBNCO)
(by A= (ANB)U(A\C)U((ANC)\ B)
(¢) If A and B are disjoint then CUAUB = CU (A\ C)U (B\ C) and the three sets
on the right-hand side are disjoint.
(d) AUB=(ANB)U(A"NB)U (B\ A)