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

Explanation:

Step1: Define the sample space

The sample space is the set of all possible outcomes. Here, the sample space $S={1,2,3,4,5,6,7,8}$ since there are 8 slips numbered from 1 - 8.

Step2: Define the event

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

Step3: Find the complement of the event

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

Answer:

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