Question

Find the complementary event of the given event.

an odd number on a spinner with equal-sized sections labeled 1–8

A.
a number less than 4

B.
a number greater than 4

C.
a multiple of 3

D.
an even number

Answer 1

Basically, what is the opposite of each statement?

Answer 2

Complementary events are two outcomes of an event that are the only two possible outcomes. This is like flipping a coin and getting heads or tails. Of course, there are no other options, so these events are complementary.

Answer 3

Hmm.. Im not sure ;-;

Answer 4

More specifically, a statement that splits it into two groups. e.g.

A. a number less than 4

It's complement is a number which is equal to four or greater.

Answer 5

sorry! Im back! My computer crashed XD

Answer 6

Okay, so B:

It's complement is a number which is less than 4.

Answer 7

For C, its gonna be tricky XD

Answer 8

@x__hazel__x What if the number is 4? For B.

Answer 9

What do you mean? Like, if the question was "the number 4"? :P

Answer 10

No. Okay, so the statement says a number greater than 4.

That means one group is the numbers; 5,6,7,8

Then your statement is 'less than four' which is 1,2,3

You have '4' left over

That's 3 groups of numbers, not 2.

Answer 11

OHHHHHH

Answer 12

So how would you fix it?

Answer 13

Hmmm.. OH! The answer is D, right? Because "4" is an even number, and no other answer has to do with 4!

Answer 14

Huh? What do you mean? They're not picking choices, it wants you to make the complement of A, B, C, D.

Answer 15

Hmmm... Im sorry, im confused ;-;

Answer 16

Okay. Let's work backwards.

For this statement.

D. An even number.

If a number is even, then it's not ___?

Answer 17

odd?

Answer 18

Good. Because you split it into two groups.

Odd and Even. Those are compliments.

Okay next:

C. A multiple of 3.

What would the opposite of this be?

Answer 19

not a multiple of 3?

Answer 20

Yes, good.

Answer 21

Okay!

Answer 22

Okay, now for B. A number greater than four.

What will the opposite group be? (Don't forget about the number four.)

Answer 23

So, then for a "number greater than 4", it would be "a number less than 4"?

Answer 24

It would actually be, a number equal to, or less than four.

Answer 25

Oh!

Answer 26

Since you need to make them into two groups, or 'complements'.

Answer 27

ohh, okay!

Answer 28

Then, what would A. Be?

Answer 29

A would be "A number greater than 4"?

Answer 30

Look at how it's worded, and how I explained B.

Answer 31

OHH, so "A number equal to, or greater than 4"?

Answer 32

Yes! There you go.

Answer 33

Okay! So how do I know which one is the answer?

Answer 34

They all are, lol. It's basically asking four questions. Like a question with four parts.

Answer 35

Ohhh.. but, it lets me pick an option o.o

Answer 36

@Zelda :3

Answer 37

Ah, okay. Then D. Yes. :)

Answer 38

Okay! Thank you!

Answer 39

Cheers.

Answer 40

How do I know next time what the answer is? :3 And Thank you sooooooo much!!!

Answer 41

You work it out.

Answer 42

And you read the statement, unlike me >_>

Answer 43

Well, at least you learned how to do it.

Answer 44

haha yes XD