Two fair dice are thrown once.
a. (i) Let A= “the sum of the numbers on the two dice is even” and B= “the sum is odd”. Show that A and B are mutually exclusive and exhaustive.
b. (ii) Using the result of part (i), state whether A and B are complementary, giving a brief reason.
c. (iii) Calculate P(A), P(B) and P(A∪B).