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Probability Help

Blogs > Peter[Deuce]
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Peter[Deuce]
Profile Blog Joined November 2007
United States93 Posts
January 08 2009 05:03 GMT
#1
Suppose:
55% of adults like coffee.
25% of adults like tea.
45% of adults like cola.

and
15% drink both coffee and tea
5% drink all beverages
25% drink both coffee and cola
5% drink only tea

a) What percent of adults drink only cola?

b) What percent drink none of these beverages?

Note: This is a high school problem; question may be easily solved. Don't blame me for my ineptitude!

*
YianKutKu
Profile Joined January 2009
United States142 Posts
Last Edited: 2009-01-08 05:09:04
January 08 2009 05:06 GMT
#2
I remember doing these problems in my pre-calc class. Forgot now.

edit: use a tree diagram
hwighting!
Avidkeystamper
Profile Blog Joined June 2008
United States8556 Posts
January 08 2009 05:08 GMT
#3
Did you try making a Venn Diagram?

Have each region represent a specific variable, and there are 7 regions non-overlapping regions, coffee, tea, cola, coffe/cola, coffe/tea, cola/tea, and coffe/cola/tea. rewrite the information given and you have a system of 7 varialbes and equations and you can just solve from there.

Also, this isn't a probability problem.
Jaedong
SpiritoftheTunA
Profile Blog Joined August 2006
United States20903 Posts
January 08 2009 05:12 GMT
#4
45 cola - 25 coffeecola - 5 all - (25tea - 15coffeetea - 5all - 5onlytea)teacola = 15 onlycola?

100 - (15coffeetea + 5all + 25coffeecola + 5onlytea + 0teacola + 15onlycola + (55coffee - 15coffeetea - 5all - 25coffeecola)onlycoffee = 25none?

i always sucked at probability/statistics/w/e so yeah iuno mang
posting on liquid sites in current year
Fontong
Profile Blog Joined December 2007
United States6454 Posts
January 08 2009 05:13 GMT
#5
^^Avidkeystamper has a clever solution, I've actually never seen this type of problem in my life despite having just taken multivariable calc(lol...). I really wouldn't know how to do it without thinking a lot.

On January 08 2009 14:06 YianKutKu wrote:
I remember doing these problems in my pre-calc class. Forgot now.

edit: use a tree diagram

You are a hunters player, yes? I think I've seen you around bnet.
[SECRET FONT] "Dragoon bunker"
Grobyc
Profile Blog Joined June 2008
Canada18410 Posts
January 08 2009 05:14 GMT
#6
More effort for homework threads please.
All you did was post the problem, what do you know about the problem thus far if anything?
If you watch Godzilla backwards it's about a benevolent lizard who helps rebuild a city and then moonwalks into the ocean.
Zapdos_Smithh
Profile Blog Joined October 2008
Canada2620 Posts
Last Edited: 2009-01-08 05:30:42
January 08 2009 05:17 GMT
#7
Make a Venn Diagram of all three. First one is pretty simple once you get it going but the second one tricked me, though I think I got it right (I took math 12 last year, and I'm in arts now so I'm not really that fresh @ this stuff), however:

Answers should be:
a)15%
b)20%

Btw you should say that 55% of adults drink coffee/tea/cola, because liking and drinking can be two different things (hope that didn't change the answer).
Zapdos_Smithh
Profile Blog Joined October 2008
Canada2620 Posts
January 08 2009 05:18 GMT
#8
Do you have the answer key? can you tell us the answers? im curious now.
Peter[Deuce]
Profile Blog Joined November 2007
United States93 Posts
January 08 2009 05:18 GMT
#9
Well I tried the venn diagram with 3 overlaps and each section labeled a different drink. But I got confused in the process of trying to find the answer for each question. I know about the addition rules for disjoint events like P(A) + P(B)=P(A or B).

This problem has the overlap and I honestly don't have any idea what to do.
I think it has something to do with P(A or B)=P(A) + P(B) - P(A and B)
but there's three variables so that got me pretty confused.
Peter[Deuce]
Profile Blog Joined November 2007
United States93 Posts
January 08 2009 05:19 GMT
#10
On January 08 2009 14:17 Resonance wrote:
Make a Venn Diagram of all three. First one is pretty simple once you get it going but the second one tricked me, though I think I got it right (I took math 12 last year, and I'm in arts now so I'm not really that fresh @ this stuff), however:

Answers should be:
a)15%
b)15%

Btw you should say that 55% of adults drink coffee/tea/cola, because liking and drinking can be two different things (hope that didn't change the answer).

Oh I just copied the problem from the book. I don't have an answer key though =[
Zapdos_Smithh
Profile Blog Joined October 2008
Canada2620 Posts
Last Edited: 2009-01-08 05:30:59
January 08 2009 05:23 GMT
#11
Divinek
Profile Blog Joined November 2006
Canada4045 Posts
Last Edited: 2009-01-08 05:27:06
January 08 2009 05:24 GMT
#12
a) 15%
b) 20%

do these add up

[image loading]


I have alot of pracitce with these and this was a rather easy one as long as i know how to add
Never attribute to malice that which can be adequately explained by stupidity.
Oh goodness me, FOX tv where do you get your sight? Can't you keep track, the puck is black. That's why the ice is white.
il0seonpurpose
Profile Blog Joined January 2007
Korea (South)5638 Posts
Last Edited: 2009-01-08 05:26:21
January 08 2009 05:25 GMT
#13
I had the exact same question, ah I forgot though! Solve for coffee and tea and then the remainder should be coke.

A= Coffee
B= Tea

P(55)+ P(25)-P(15)= 55

So the remaining should be 45% who like coke

Actually I'm not sure if that's right but I think .45 is one of the answers


Edit: NVM, look at the diagram above ^^^^^^
Zapdos_Smithh
Profile Blog Joined October 2008
Canada2620 Posts
Last Edited: 2009-01-08 05:31:53
January 08 2009 05:27 GMT
#14
That sucks no answers how are you supposed to know your doing a question right.
SpiritoftheTunA
Profile Blog Joined August 2006
United States20903 Posts
Last Edited: 2009-01-08 05:29:36
January 08 2009 05:28 GMT
#15
yeah they do divinek, i just realized the mistake in mine was that i assumed the phrase "coffee and tea" meant "coffee, tea, but not cola" and etc etc etc so it led to me calculating that tea+cola and not coffee was 0

i dunno man honestly it could go both ways
posting on liquid sites in current year
Zapdos_Smithh
Profile Blog Joined October 2008
Canada2620 Posts
January 08 2009 05:29 GMT
#16
Fucking hell everybody has different answers, I am going to do this again.
Peter[Deuce]
Profile Blog Joined November 2007
United States93 Posts
Last Edited: 2009-01-08 05:32:19
January 08 2009 05:30 GMT
#17
Ah I get the first, still wondering what I subtract to get the second.

Yeah my teacher gave me an even problem; I don't know why. The second answer seems right. Thanks. I never liked venn diagrams =/
Zapdos_Smithh
Profile Blog Joined October 2008
Canada2620 Posts
January 08 2009 05:30 GMT
#18
yeah I made another mistake Divinek has it right.
Divinek
Profile Blog Joined November 2006
Canada4045 Posts
January 08 2009 05:30 GMT
#19
On January 08 2009 14:27 Resonance wrote:
No answer? Man that's a bad teaching method how are you supposed to know if what you are doing is right?

Anyway here is my logic for both of your questions:

For the first one it's pretty simple, just find the only Cola drinkers %.

For the second, what I did was get all the percentages (after broken down, 15+25+5+15+5+10+0=75)

Then just go 100% - 75 = 25...rofl yeah ok so I made that mistake there I'm really fucking tired haha

So answers are 15% and 25%


When you get to 3rd/4th year math courses atleast none of the books have answers, at all.

It's suprising how many people got this wrong. Pictures really do help, always, always, always.
Never attribute to malice that which can be adequately explained by stupidity.
Oh goodness me, FOX tv where do you get your sight? Can't you keep track, the puck is black. That's why the ice is white.
SpiritoftheTunA
Profile Blog Joined August 2006
United States20903 Posts
January 08 2009 05:31 GMT
#20
On January 08 2009 14:30 Divinek wrote:
Show nested quote +
On January 08 2009 14:27 Resonance wrote:
No answer? Man that's a bad teaching method how are you supposed to know if what you are doing is right?

Anyway here is my logic for both of your questions:

For the first one it's pretty simple, just find the only Cola drinkers %.

For the second, what I did was get all the percentages (after broken down, 15+25+5+15+5+10+0=75)

Then just go 100% - 75 = 25...rofl yeah ok so I made that mistake there I'm really fucking tired haha

So answers are 15% and 25%


When you get to 3rd/4th year math courses atleast none of the books have answers, at all.

It's suprising how many people got this wrong. Pictures really do help, always, always, always.

it was a semantics issue, my method was perfectly fine if in the OP the phrases like "cola and coffee" meant exclusive of tea
posting on liquid sites in current year
Divinek
Profile Blog Joined November 2006
Canada4045 Posts
January 08 2009 05:32 GMT
#21
On January 08 2009 14:30 Peter[Deuce] wrote:
Ah I get the first, still wondering what I subtract to get the second.


Suppose:
55% of adults like coffee.
25% of adults like tea.
45% of adults like cola.

and
15% drink both coffee and tea
5% drink all beverages
25% drink both coffee and cola
5% drink only tea

ok so you have that right

First thing I like to do is put the a+b+c one in, the five percent, then you can throw in the coffee and tea's 10 percent to get 15, and then the coffee and cola's 20 to get 25. then you put 5% in tea, which you dont even need to be supplied with, and fill in the rest based on the 'suppose' just by subtracting what you have from what you need. and then subtract everything in there from 100 to get the 20.
Never attribute to malice that which can be adequately explained by stupidity.
Oh goodness me, FOX tv where do you get your sight? Can't you keep track, the puck is black. That's why the ice is white.
Peter[Deuce]
Profile Blog Joined November 2007
United States93 Posts
January 08 2009 05:33 GMT
#22
Divinek's has P(Coffee and cola)=20% when it's 25%
Zapdos_Smithh
Profile Blog Joined October 2008
Canada2620 Posts
January 08 2009 05:33 GMT
#23
On January 08 2009 14:30 Divinek wrote:
Show nested quote +
On January 08 2009 14:27 Resonance wrote:
No answer? Man that's a bad teaching method how are you supposed to know if what you are doing is right?

Anyway here is my logic for both of your questions:

For the first one it's pretty simple, just find the only Cola drinkers %.

For the second, what I did was get all the percentages (after broken down, 15+25+5+15+5+10+0=75)

Then just go 100% - 75 = 25...rofl yeah ok so I made that mistake there I'm really fucking tired haha

So answers are 15% and 25%


When you get to 3rd/4th year math courses atleast none of the books have answers, at all.

It's suprising how many people got this wrong. Pictures really do help, always, always, always.


Lol I'm suprised it wrong too, I did this stuff last year and I remember it was so easy, but I have forgotten so much.

Ah well I'm not in math right now so I guess I have an excuse.
SpiritoftheTunA
Profile Blog Joined August 2006
United States20903 Posts
Last Edited: 2009-01-08 05:35:15
January 08 2009 05:34 GMT
#24
On January 08 2009 14:33 Peter[Deuce] wrote:
Divinek's has P(Coffee and cola)=20% when it's 25%

no see his P(coffee and cola) is split among the 5 all3 + the 20 coffee/cola/NOTtea which checks out

P(coffee, cola, not tea) != P (coffee, cola)
posting on liquid sites in current year
Peter[Deuce]
Profile Blog Joined November 2007
United States93 Posts
January 08 2009 05:35 GMT
#25
I don't know. I figured that P(Cola and Tea)=0% because 5%(tea only)+15%(Coffee and tea)+5%(All)=25% already.
Peter[Deuce]
Profile Blog Joined November 2007
United States93 Posts
January 08 2009 05:36 GMT
#26
On January 08 2009 14:34 SpiritoftheTunA wrote:
Show nested quote +
On January 08 2009 14:33 Peter[Deuce] wrote:
Divinek's has P(Coffee and cola)=20% when it's 25%

no see his P(coffee and cola) is split among the 5 all3 + the 20 coffee/cola/NOTtea which checks out

P(coffee, cola, not tea) != P (coffee, cola)

Ah!
SpiritoftheTunA
Profile Blog Joined August 2006
United States20903 Posts
January 08 2009 05:36 GMT
#27
On January 08 2009 14:35 Peter[Deuce] wrote:
I don't know. I figured that P(Cola and Tea)=0% because 5%(tea only)+15%(Coffee and tea)+5%(All)=25% already.

yeah i did something similar the first time, not realizing the mistake in thinking i just pointed out
posting on liquid sites in current year
Peter[Deuce]
Profile Blog Joined November 2007
United States93 Posts
January 08 2009 05:40 GMT
#28
Thanks guys. First time in statistics where I was confused =O
zeks
Profile Blog Joined September 2007
Canada1068 Posts
January 08 2009 05:40 GMT
#29
a) 15
b) 20

2nd year math major approved
"Two roads diverged in a wood, and I-- I took the one less traveled by, And that has made all the difference."
Divinek
Profile Blog Joined November 2006
Canada4045 Posts
January 08 2009 05:55 GMT
#30
On January 08 2009 14:40 zeks wrote:
a) 15
b) 20

2nd year math major approved


but did you like my drawing

And no worries for the help, if you need anymore in the future feel free to pm me if you like.
Never attribute to malice that which can be adequately explained by stupidity.
Oh goodness me, FOX tv where do you get your sight? Can't you keep track, the puck is black. That's why the ice is white.
YianKutKu
Profile Joined January 2009
United States142 Posts
January 09 2009 03:05 GMT
#31
On January 08 2009 14:13 Fontong wrote:
^^Avidkeystamper has a clever solution, I've actually never seen this type of problem in my life despite having just taken multivariable calc(lol...). I really wouldn't know how to do it without thinking a lot.

Show nested quote +
On January 08 2009 14:06 YianKutKu wrote:
I remember doing these problems in my pre-calc class. Forgot now.

edit: use a tree diagram

You are a hunters player, yes? I think I've seen you around bnet.


Yup. Haven't been playing a lot of 3v3's though lately.
hwighting!
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