Question

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

A spinner is split into 4 equal parts labeled 1, 2, 3, and 4.
spinning a 4
spinning a 3 or 4
spinning a 1 or 2
spinning a 1, 2, or 3

Answer 1

Spinning a 3 or 4

Explanation:

The numbers that are less than 3 on the spinner, are 1 and 2. Therefore, the complement or opposite of that are all the numbers other than 1 and 2. So the answer is 3 and 4.

Answer 2

b) Complement of spinning any number less than 3 is Spinning 3 or 4.

Explanation:

COMPLIMENT of any Set A is the set of all the elements which are in the sample space but NOT IN SET A.

Here, Event E = Spinning a spinner with 4 parts and getting a number less than 3.

Here, Sample Space = {1,2,3,4}

Also, as outcomes is LESS THAN 3, ⇒ E = {1 ,2}

Now, Compliment E = Sample Space - { Elements in set E}

= {1,2,3,4} - {1 ,2}

or, E' = { 3,4}

Hence, complement of spinning any number less than 3 is Spinning 3 or 4.