eight identical slips of paper, each containing one number from one to eight, inclusive, are mixed up inside…

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?\no a = {6}\no a = {1, 3, 5, 7}\no a = {1, 2, 3, 4, 5, 7, 8}\no a = {1, 2, 3, 4, 5, 6, 7, 8}

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?\no a = {6}\no a = {1, 3, 5, 7}\no a = {1, 2, 3, 4, 5, 7, 8}\no a = {1, 2, 3, 4, 5, 6, 7, 8}

Answer

Answer:

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

Explanation:

Step1: Define the sample space

The sample space $S={1,2,3,4,5,6,7,8}$.

Step2: Define the event

The event $E$ is drawing the number 6. So $E = {6}$.

Step3: Find the complement

The complement of an event $E$, denoted as $E^c$ or $\overline{E}$, contains all the elements in the sample - space that are not in $E$. So $A=\overline{E}={1,2,3,4,5,7,8}$.