Please see the problem in the attatched. Note that the dice is rolled only once.

4. Independence and dice (2 points each) Suppose a single fair die is rolled once. Give examples of events A and B that are (i) independent and not disjoint, (ii) dependent and not disjoint, (iii) independent and disjoint, (iv) dependent and disjoint. Justify your answers by checking the definition of independence