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Topic Started: Jan 30 2013, 10:20 PM (722,649 Views)
orangedaffodils
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Let ε <0
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Jul 25 2013, 06:33 AM
1/2 is my guess
7 possible cubes it can be. each cube has 6 orientations. seeing 5 sides eliminates 30 orientations. 6 remain plus the 6 of the paintless cube. so 1/2
DING DI--!!!

Half credit dings is awarded to you; the reasoning is off.
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Artichoke
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nam fuit ante Helenam cunnus taeterrima belli causa
orangedaffodils
Jul 25 2013, 06:39 AM
DING DI--!!!

Half credit dings is awarded to you; the reasoning is off.
I'm just going to guess 1/2 for these, if I don't know in the future. =_= =_=

Explain reasoning plz.
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orangedaffodils
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Artichoke
Jul 25 2013, 06:41 AM
I'm just going to guess 1/2 for these, if I don't know in the future. =_= =_=

Explain reasoning plz.
Then, at best, i'd only give you 1/2 credit since you won't have an argument to back up your guess.

anyway, on to the explanation: we needed the conditional probability - P(1 blue face hidden GIVEN 5 blank faces)

5 blank faces only occurs in two cases:
1) one blue face AND oriented in the right direction so that the blue is on the bottom
2) no blue faces, in which every orientation would give five blank faces.

1) has a probability 6/27*(1/6)= 1/27
2) has a probability 1/27*(6/6) = 1/27

hence P(1) / P(1 U 2) = 1/2, which equals the conditional since P(5 blank faces | 1 blue face hidden) is 1.

ok y'all, that's it for now! I really gotta go finish hw before it gets too late. Leave lingering questions if you want! :bye:
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Artichoke
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nam fuit ante Helenam cunnus taeterrima belli causa
...I don't really understand your explanation, so I'll work it out myself.
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orangedaffodils
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Artichoke
Jul 25 2013, 06:50 AM
...I don't really understand your explanation, so I'll work it out myself.
P(1 face blue and seeing all blank) = 1/6*(6/27) = 1/27
P(all faces blank) = 1/27
P(seeing all blank) = 2/27
P(1 face blue given that you see all blank) = (1/27) / (2/27)= 1/2

^the conditional probability is what needed to be found.

This is the less formal way to describe what's going on
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I don't understand either -_-
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^sa I understand now :lol:
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orangedaffodils
Jul 25 2013, 06:39 AM
Anon
Jul 25 2013, 06:33 AM
1/2 is my guess
7 possible cubes it can be. each cube has 6 orientations. seeing 5 sides eliminates 30 orientations. 6 remain plus the 6 of the paintless cube. so 1/2
DING DI--!!!

Half credit dings is awarded to you; the reasoning is off.
=_= what my reasoning was right then. Maybe I just worded it weird.


If you paint the sides of the original cube blue and then cut them up into 27 pieces you will have 7 cubes that have at least 5 sides that do not have paint on them.

So if you see 5 paintless sides, it could be one of the 6 cubes with it's blue side facing down, or it could be the paintless cube with any of it's sides facing down (6 possible ways to set that cube down). So out of the 12 ways to see 5 paintless sides, 6 ways have involve a cube with blue painted face.
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Artichoke
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nam fuit ante Helenam cunnus taeterrima belli causa
Anon
Jul 25 2013, 07:01 AM
=_= what my reasoning was right then. Maybe I just worded it weird.


If you paint the sides of the original cube blue and then cut them up into 27 pieces you will have 7 cubes that have at least 5 sides that do not have paint on them.

So if you see 5 paintless sides, it could be one of the 6 cubes with it's blue side facing down, or it could be the paintless cube with any of it's sides facing down (6 possible ways to set that cube down). So out of the 12 ways to see 5 paintless sides, 6 ways have involve a cube with blue painted face.
This is more understandable. Thinking about it in terms of unnecessarily complicated fractions and calculations that come out of nowhere confused me a bit, considering I don't think of things in that way.
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orangedaffodils
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Let ε <0
Anon
Jul 25 2013, 07:01 AM
=_= what my reasoning was right then. Maybe I just worded it weird.


If you paint the sides of the original cube blue and then cut them up into 27 pieces you will have 7 cubes that have at least 5 sides that do not have paint on them.

So if you see 5 paintless sides, it could be one of the 6 cubes with it's blue side facing down, or it could be the paintless cube with any of it's sides facing down (6 possible ways to set that cube down). So out of the 12 ways to see 5 paintless sides, 6 ways have involve a cube with blue painted face.
Merp, it's right but it's not...worded...in...a...way...I LIKE????

Your wording is super imprecise. I will give you an extra two letter back: DING DING :lol:

@Arti: those "complicated fractions" are necessary when looking at the entirety of this problem if you want to provide a clear and concise solution. The answer anon provided would not be accepted for IMO, but it is correct.
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orangedaffodils
Jul 25 2013, 07:05 AM
Anon
Jul 25 2013, 07:01 AM
=_= what my reasoning was right then. Maybe I just worded it weird.


If you paint the sides of the original cube blue and then cut them up into 27 pieces you will have 7 cubes that have at least 5 sides that do not have paint on them.

So if you see 5 paintless sides, it could be one of the 6 cubes with it's blue side facing down, or it could be the paintless cube with any of it's sides facing down (6 possible ways to set that cube down). So out of the 12 ways to see 5 paintless sides, 6 ways have involve a cube with blue painted face.
Merp, it's right but it's not...worded...in...a...way...I LIKE????

You're wording is super imprecise. I will give you an extra two letter back: DING DING :lol:
I'll take it  :yus:
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Artichoke
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nam fuit ante Helenam cunnus taeterrima belli causa
orangedaffodils
Jul 25 2013, 07:05 AM
@Arti: those "complicated fractions" are necessary when looking at the entirety of this problem if you want to provide a clear and concise solution. The answer anon provided would not be accepted for IMO, but it is correct.
No, I know, but since I've not done anything involving precise probability in about 2 years, it's a bolt from the blue. Phrasing things like a logic problem, as the Anon did, makes me understand the reasoning behind it more, if that makes sense. :$
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orangedaffodils
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Artichoke
Jul 25 2013, 07:10 AM
No, I know, but since I've not done anything involving precise probability in about 2 years, it's a bolt from the blue. Phrasing things like a logic problem, as the Anon did, makes me understand the reasoning behind it more, if that makes sense. :$
ok, that's great! If that's how you learn, then that's how you learn ^_^

However, what you said was that they were "unnecessarily complicated fractions and calculations that come out of nowhere" which is not true - those numbers have a reason for being there; they were literally the number of X event (such as seeing all blank faces) over the total number of outcomes... just manipulated around a bit based on what you needed to find. That's hardly "unnecessary" -_- in fact, that's the point!!
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Yuwree
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Im so confused, how do you divide a cube into 27 smaller ones, doesnt it need to be an even number?

OTL Im so stupid
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orangedaffodils
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Let ε <0
Yuwree
Jul 25 2013, 07:27 AM
Im so confused, how do you divide a cube into 27 smaller ones, doesnt it need to be an even number?

OTL Im so stupid
I never gave you the dimensions, so it could be any number

it's arbitrary :P you're not stupid :hug:
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babycakes
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Yuwree
Jul 25 2013, 07:27 AM
Im so confused, how do you divide a cube into 27 smaller ones, doesnt it need to be an even number?

OTL Im so stupid
think rubix cube bb, you're not stupid :hug:
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Yuwree
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babycakes
Jul 25 2013, 07:34 AM
Yuwree
Jul 25 2013, 07:27 AM
Im so confused, how do you divide a cube into 27 smaller ones, doesnt it need to be an even number?

OTL Im so stupid
think rubix cube bb, you're not stupid :hug:
I still don't get it
Unless theres like 1 cube in the middle and all the others are based off the faces of the original cube as opposed to four cubes arranged in a cube and the other cubes being based off of them

Im so dumb
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Yuwree
Jul 25 2013, 07:56 AM
babycakes
Jul 25 2013, 07:34 AM
Yuwree
Jul 25 2013, 07:27 AM
Im so confused, how do you divide a cube into 27 smaller ones, doesnt it need to be an even number?

OTL Im so stupid
think rubix cube bb, you're not stupid :hug:
I still don't get it
Unless theres like 1 cube in the middle and all the others are based off the faces of the original cube as opposed to four cubes arranged in a cube and the other cubes being based off of them

Im so dumb
Yea there's 1 in the centre, think of a 3x3x3 cube
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HolyYoong
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My shupanova
I wanna marry Ellen Page
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Rexie
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Your friendly neighborhood T-Rex
math -_-
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Yuwree
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Yuri sining 'Whats up' is one of the fluffiest and happiest moments of my hormonal day
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Yuwree
Jul 25 2013, 10:57 AM
Yuri sining 'Whats up' is one of the fluffiest and happiest moments of my hormonal day
was she any good? :$
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Yuwree
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Jul 25 2013, 10:58 AM
Yuwree
Jul 25 2013, 10:57 AM
Yuri sining 'Whats up' is one of the fluffiest and happiest moments of my hormonal day
was she any good? :$
http://cfile25.uf.tistory.com/media/261FEC4751F0BD1F0C322E

It's hard to hear but its definitely in english :3
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Yuwree
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Got knocked back from 2 McDonalds and 2 KFC positions just now :fml:
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Random Snippets
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Yuwree
Jul 25 2013, 11:54 AM
Got knocked back from 2 McDonalds and 2 KFC positions just now :fml:
Job-hunting is such a pain but keep going. Don't get demoralized. Totes rooting for you! ^_^
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Candy Star
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I woke up one minute before my alarm and when I start getting ready I open up the thread to math =_=
I hope it doesn't get too hot today cuz I don't feel like dying. I'll be too tired when I come home so I'm gonna have to page catch a shitton on the weekend :'(
Bai guize  :grouphug:
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Yuwree
Jul 25 2013, 11:54 AM
Got knocked back from 2 McDonalds and 2 KFC positions just now :fml:
why not try at cafe or coffe shop or maybe supermarket?
idk about job-hunting since I never went to look for a job
anyway, keep trying bb.. hwaitaeng~
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sicachu
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I'm so emotional today

I put my ipod on and it plays Jessica's Someday and and I start crying
Posted Image
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sicachu
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Candy Star
Jul 25 2013, 12:46 PM
I woke up one minute before my alarm and when I start getting ready I open up the thread to math =_=
I hope it doesn't get too hot today cuz I don't feel like dying. I'll be too tired when I come home so I'm gonna have to page catch a shitton on the weekend :'(
Bai guize  :grouphug:
:'( bye ~
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sicachu
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Jul 25 2013, 05:44 AM
I want another tinychat session. :sadangel:
me too but quite a lot of users can't use it :dramaqueen:
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Rexie
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sicachu
Jul 25 2013, 01:16 PM
I'm so emotional today

I put my ipod on and it plays Jessica's Someday and and I start crying
Posted Image
just a lil something to cheer you up ^_^

Spoiler: click to toggle
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Pod
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drek ogrelord
What is this pagecatch...

Can we talk about After Eights again
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Rexie
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Your friendly neighborhood T-Rex
^is that the chocolate mint thingy??

ewwwww chocolate mint =_=
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sicachu
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Rexie
Jul 25 2013, 01:32 PM
sicachu
Jul 25 2013, 01:16 PM
I'm so emotional today

I put my ipod on and it plays Jessica's Someday and and I start crying
Posted Image
just a lil something to cheer you up ^_^

Spoiler: click to toggle
What is this and why am I so depressed?
Posted Image
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sicachu
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Pod
Jul 25 2013, 01:35 PM
What is this pagecatch...

Can we talk about After Eights again
:rofl: ikr?
I was reading through it and was like
Posted Image

I haven't done maths for over 2 years now so this flies right over my head

Thank God I went down the creative route :blinkwide:
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