Question

A spinner is divided into eight equal-sized sections, numbered from 1 to 8, inclusive.

What is true about spinning the spinner one time? Check all that apply.

S = {1, 2, 3, 4, 5, 6, 7, 8}
If A is a subset of S, A could be {1, 2, 3}.
If A is a subset of S, A could be {7, 8, 9}.
If a subset A represents spinning a number less than 4, its sample space is A = {1, 2, 3, 4}.
If a subset A represents the complement of spinning an odd number, its sample space is A = {2, 4, 6, 8}.

Answer 1

A, B, & E

Explanation:

edg2020

Answer 2

A.
The spinner can land on 1, 2, 3, 4, 5, 6, 7, or 8, so the sample space is {1, 2, 3, 4, 5, 6, 7, 8}.
Choice A applies.

B.
1, 2, 3 are part of the sample space, so choice B applies.

C.
9 is not in the sample space, so choice C does not apply.

D.
4 is in set A. 4 is not less than 4, so choice D does not apply.

E.
The set of spinning an odd number is {1, 3, 5, 7}.
Removing these elements from the original sample space leaves the complement (2, 4, 6, 8}. Choice E applies.

Answer: A, B, E