. Use Venn diagrams to verify De Morgan’s laws: (a) (A [ B)0 ¼ A0 \ B0 (b) (A \ B)0 ¼ A0 [ B0   . (a) In Example 1.10, identify three events that are mutually exclusive. (b) Suppose there is no...

. Use Venn diagrams to verify De Morgan’s laws:

(a) (A [ B)0 ¼ A0 \ B0

(b) (A \ B)0 ¼ A0 [ B0

. (a) In Example 1.10, identify three events that are mutually exclusive.

(b) Suppose there is no outcome common to all three of the events A, B, and C. Are these three

events necessarily mutually exclusive? If your answer is yes, explain why; if your answer is

no, give a counterexample using the experiment of Example 1.10.