Question

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. 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}

Explanation:

Step1: Recall the definition of complement event

The complement of an event \(E\) (denoted as \(E^c\)) contains all the outcomes in the sample space that are not in \(E\).
The sample space \(S=\{1,2,3,4,5,6,7,8\}\). Let \(E\) be the event that the number \(6\) is drawn. So \(E = \{6\}\).

Step2: Find the complement of event \(E\)

The complement of \(E\), \(A=S - E\).

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

Answer:

\(A = \{1,2,3,4,5,7,8\}\) (the third option)