Answer: The correct choice is (C) A = {1, 2, 3, 4, 5, 7, 8}.
Step-by-step explanation: We have eight identical slips of paper, each numbered from one to eight, which have been mixed inside a bag.
The sample space, S is as follows:
S = {1, 2, 3, 4, 5, 6, 7, 8}.
Subset A consists of the complement of the event where the number 6 is drawn.
Let 'B' denote the event of drawing the number 6.
Thus, B = {6}.
Since 'A' represents the complement of 'B', it will include all elements in the sample space 'S' that are not part of set 'B'.
Therefore,
A = B' = {1, 2, 3, 4, 5, 7, 8}
So, A = {1, 2, 3, 4, 5, 7, 8}.
Consequently, (C) is the correct choice.