Which best describes the complement of spinning any number less than 3?

A. spinning a 4
B. spinning a 3 or 4
C. spinning a 1 or 2
D. spinning a 1, 2, or 3



Answer :

To describe the complement of the event "spinning any number less than 3," let's first understand what it means to find the complement of an event and then apply this to our specific case.

1. Understanding the Event:
- The event in question is "spinning any number less than 3."
- Let's identify these numbers: Any number less than 3 would be either 1 or 2.

2. Defining the Complement:
- The complement of an event consists of all possible outcomes that are not part of the original event.
- Therefore, the complement of "spinning any number less than 3" includes all outcomes where the spun number is not less than 3.

3. Identifying the Complement Outcomes:
- We exclude the numbers less than 3 (which are 1 and 2).
- Thus, the complement consists of the numbers that are 3 or greater.

4. Possible Choices:
- "Spinning a 4" - This option includes only the number 4.
- "Spinning a 3 or 4" - This option includes the numbers 3 and 4.
- "Spinning a 1 or 2" - This option repeats the original event and is not a complement.
- "Spinning a 1, 2, or 3" - This option includes numbers less than 3, as well as 3, which is not entirely excluding the numbers less than 3.

Given these details, the complement of "spinning any number less than 3" is best described by the option that includes the numbers 3 or greater.

Hence, the answer is:
spinning a 3 or 4