Suppose two 4-sided polygons are randomly tossed. Assuming the tetrahedrons are weighted fair, determine the set of all possible outcomes . Assume each face is numbered 1, 2, 3, and 4. Let the sets A, B, C, and D represent the following events:

A. The sum of the toss is even.

B. The sum of the toss is odd.

C. The sum of the toss is a number less than 6.

D. The toss yielded the same number on each upturned face:

1. Find P(A), P(B), P(C), P(A B), P(A B), P(B C), P(B C D)
2. Verify P ((AB)^C)= P(A^CB^C)