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

Answer

Explanation:

Step1: Define the sample space

The sample space ( S ) is the set of all possible outcomes. Here, the numbers on the slips are from 1 to 8, so ( S={1, 2, 3, 4, 5, 6, 7, 8} ).

Step2: Define the event and its complement

Let ( E ) be the event of drawing the number 6. Then ( E = {6} ). The complement of an event ( E ), denoted ( E^c ) (or subset ( A ) here), is the set of all outcomes in the sample space that are not in ( E ). So we need to remove 6 from the sample space.

Step3: Find subset ( A )

Removing 6 from ( S={1, 2, 3, 4, 5, 6, 7, 8} ) gives ( A={1, 2, 3, 4, 5, 7, 8} ).

Answer:

( A = {1, 2, 3, 4, 5, 7, 8} ) (the last option among the given choices)