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

Answer

Explanation:

Step1: Define complement event

The complement of an event contains all outcomes that are not in the original event.

Step2: Identify original event

The original event is drawing the number 6. The sample - space is (S={1,2,3,4,5,6,7,8}).

Step3: Determine complement set

The complement of the event of drawing 6 is all numbers in the sample - space except 6. So (A = {1,2,3,4,5,7,8}).

Answer:

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