If two events A and B are such that Pr(A) is not zero and Pr(B) is not zero, what combinations of independent (I), not independent (NI ), mutually exclusive (M ), and not mutually exclusive (NM ) are permissible?
In other words, which of the four combinations (I, M ), (NI, M ), (I, NM ), and (NI, NM ) are permissible? Construct an example for those combinations that are permissible.