Eight identical slips of paper, each containing one number from one to eight, inclusive, are mixed up inside a bag. Subset A of the sample space represents the complement of the event in which the number 6 is drawn from the bag.

Question

Which shows subset A?

A = {6}
A = {1, 3, 5, 7}
A = {1, 2, 3, 4, 5, 7, 8}
A = {1, 2, 3, 4, 5, 6, 7, 8}

Answer 1

Subset A represents the complement of the event in which the number 6 is drawn from the bag. This means that subset A includes all the numbers from the sample space except for 6.

The sample space consists of the numbers from 1 to 8: {1, 2, 3, 4, 5, 6, 7, 8}

The complement of drawing the number 6 would thus include all the other numbers: {1, 2, 3, 4, 5, 7, 8}

So, the correct choice for subset A is: A = {1, 2, 3, 4, 5, 7, 8}