Question

The faces of a number cube are numbered 1 through 6. Event A = {Rolling a 1,

2, or 3). What is the complement of event A?

A. {Rolling a 3, 4 or 5)

B. {Rolling a 1, 2, or 3)
C. {Rolling a 4,5 or 6)

D. (Rolling a 2, 3, or 4}​

Answer 1

The correct option is C

Explanation:

We will find the complement of event A.

Complement of A= U-A.

We can also write it as A^c=U-A

Complement is defined as all elements of Universal set NOT in set A.

Given sets are:

U={1,2,3,4,5,6}

A={Rolling a 1,2,3}

Then,

A^c=U-A

A^c={1,2,3,4,5,6} - {Rolling a 1,2,3}

A^c={Rolling a 4,5 or 6}.

Thus the correct option is C....