A sample space is described as S = {A, B, C, D, E, F}. If event A is {A, C, F}, then complement of event A is?

Question

A sample space is described as S = {A, B, C, D, E, F}. If event A is {A, C, F}, then the complement of event A is

A) {A, C, F}

B) {B, D, G}

C) {F, C, A}

D) {B, D, E}

Complement of a Set

Noun. Let be a subset of a set . The complement of , denoted , is the set of all elements that belong to but do not belong to .

The complement of may be read "not ." The set in the definition is sometimes called the universe of discourse or just the universe.

Example:

Let be the set of positive real numbers. Then the complement of , within the universe of all real numbers, is the set of all negative real numbers and .

Answer 1

Choice A since complement means common terms of both sets :)

Answer 2

D)

Answer 3

In simple plain English, complement means the things that must be added to make something complete. When we say, "The husband complements the wife", it means that the wife possess traits that the husband doesn't have, and vice versa.

So, to answer your question:

D) {B,D,E}