Question

Need some help! will fan and medal! A drawer contains 3 red paperclips, 4 green paperclips, and 5 blue paperclips. One paperclip is taken from the drawer and then replaced. Another paperclip is taken from the drawer. Explain why this is an independent or a dependent event.

Answer 1

so, what does dependent mean?

Answer 2

What does it mean when someone depends on someone else?

Answer 3

It means that they need someone or something that they have

Answer 4

ok so they rely on that person. They are affected by that person, yea?

Answer 5

Yes, so this would be a dependent situation because the second paperclip removed makes a difference?

Answer 6

if they put it back though, have they changed anything?

Answer 7

Have they changed the total number of paper clips? Have they changed the number of each type?

Answer 8

Well nothing changed when they replaced it, but after the second was removed it was as if the first was never replaced

Answer 9

oh, it only means going from first pull to second. You are correct. If they pulled a third time without replacing the clip, it would change things. But, this question just wants to know if you pull and replace, do you have independent or dependent?

Answer 10

I am still a little bit confused. They pulled one clip and then replaced it. After that they separately pulled another one. So in that case, I would say it is dependent.

Answer 11

Because one clip was taken. The number of clips was changed.

Answer 12

But they put the clip back

Answer 13

I see what's going on, let me define the events

Answer 14

So event 1: Pull a paper clip and put it back
Event 2: Pull a paper clip from the same pool as event 1.
Does event 1 effect event 2?

Answer 15

affect* ( Ithink)

Answer 16

OHHH okay! the way that you worded the question made more sense that way. Thank you!!!!

Answer 17

np, so let's just clear it up. What is the answer for your question?

Answer 18

It is an independent event because the sample space does not change from event one two event two :)

Answer 19

excuse me i meant form event one to event two

Answer 20

there we go. Nice. Now if you wanted brownie points (and this was a free response) you could argue that there are 3 events because any pulls after event 2 will be dependednt since the clip is not replaced.

Answer 21

So you would clear up any potential ambiguity nicely, though that really won't be necessary.

Answer 22

Yes, that makes sense. I understand now. Thank you again!

Answer 23

np! Good luck! :)