Eight identical slips of paper, each containing one number from one to eight, inclusive, are mixed up inside a bag. Subset A of

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.

I'll presume that it refers to a single slip, hence subset A = {1,2,3,4,5,7,8} (i.e. "1 is drawn", "2 is drawn" etc.)

which serves as the complement of A^c = {6} (indicating "6 is drawn")

The conclusion is that A = {1,2,3,4,5,7,8}