Question

Maria will spin the arrow on the spinner 3 times.


What is the probability that the arrow will stop on A, then B, then C?

A. 3/256
B. 1/64
C. 1/12
D. 3/4

Answer 1

Find the probability of landing on A. Find the prob of landing on B. Find the prob of landing on C. Multiply all three probabilities together.

Answer 2

I am assuming this is drawn to scale?

Answer 3

the probabilities are multiplied because each spin is independent of the previous one

Answer 4

so how would i multiply them?

Answer 5

Just multiply them together.

But first find the probability of landing on A, B, and C.

Answer 6

3 times A b c ?

Answer 7

@dan815

Answer 8

@Preetha

Answer 9

P(A)=1/4
P(B)=1/4
P(C)=1/4
In cases where the steps of experiments are independent (i.e. one outcome does not affect the others), you would multiply the probabilities, i.e.
P(ABC)=P(A)*P(B)*P(C)

Multiplying by 3 is equivalent to adding them together which does not give the correct answer in this case.

Answer 10

so im going to multiply 1/4? @mathmate

Answer 11

Tell me how you do that, please.

Answer 12

well you put P(ABC)=P(A)*P(B)*P(C) So i was thinking 1/4*1/4*1/4 lol sorry i dont know how to do probability

Answer 13

That sounds promising. What do you get?

Answer 14

0.25

Answer 15

Can you put 1/4*1/4*1/4 on a calculator? I get a different number, perhaps I have made a mistake.

Answer 16

Yes on google

Answer 17

that's ok too!

Answer 18

What do you get?

Answer 19

when i multiply them? 0.25..

Answer 20

did you put 1/4*1/4*1/4 into google?

Answer 21

Yes

Answer 22

and you got 0.25?

Answer 23

yes

Answer 24

Did you put in 1/4*1/4*1/4 ?

Answer 25

Yes

Answer 26

do you know the answer?

Answer 27

I get a totally different answer, much smaller than 0.25.
Are you sure you put in all the numbers in 1/4*1/4*1/4, i.e. 3 ones, 3 fours, separated by * and / exactly as shown?

Answer 28

ahhhhh lol now im getting a diff answer also 0.015625

Answer 29

1/64

Answer 30

That is correct! It took a little while, but it's worth the work and time!
congrats.

Answer 31

Thank You!

Answer 32

You're welcome! :)