Consider the experiment of throwing a die twice, and define the following events:

A: the sum of the two outcomes is 6;

B: the two outcomes are equal;

C: the first outcome is an even integer;

D: the first outcome is an odd integer.

Write down the 36 sample elements for this experiment, and then identify which of these elements each of the sets A, B,C,D contains. Then describe the following events, both by expressing in words what each of them represents and by listing their elements:

AB, AC′, AB′C′, AC ∪ AD, A ∪ (CD), BC′ ∪ BD, (B ∪ C)(B ∪ D).