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Peter[Deuce]
United States93 Posts
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!   | ||
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YianKutKu
United States142 Posts
edit: use a tree diagram | ||
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Avidkeystamper
United States8554 Posts
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. | ||
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SpiritoftheTunA
United States20903 Posts
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 | ||
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Fontong
United States6454 Posts
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. | ||
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Grobyc
Canada18410 Posts
All you did was post the problem, what do you know about the problem thus far if anything? | ||
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Zapdos_Smithh
Canada2620 Posts
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). | ||
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Zapdos_Smithh
Canada2620 Posts
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Peter[Deuce]
United States93 Posts
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. | ||
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Peter[Deuce]
United States93 Posts
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 =[ | ||
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Zapdos_Smithh
Canada2620 Posts
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Divinek
Canada4045 Posts
b) 20% do these add up ![[image loading]](http://img84.imageshack.us/img84/2935/vesbx6.jpg) I have alot of pracitce with these and this was a rather easy one as long as i know how to add | ||
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il0seonpurpose
Korea (South)5638 Posts
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 ^^^^^^ | ||
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Zapdos_Smithh
Canada2620 Posts
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SpiritoftheTunA
United States20903 Posts
i dunno man honestly it could go both ways | ||
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Zapdos_Smithh
Canada2620 Posts
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Peter[Deuce]
United States93 Posts
Yeah my teacher gave me an even problem; I don't know why. The second answer seems right. Thanks. I never liked venn diagrams =/ | ||
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Zapdos_Smithh
Canada2620 Posts
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Divinek
Canada4045 Posts
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. | ||
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SpiritoftheTunA
United States20903 Posts
On January 08 2009 14:30 Divinek wrote: 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 | ||
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Divinek
Canada4045 Posts
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. | ||
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Peter[Deuce]
United States93 Posts
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Zapdos_Smithh
Canada2620 Posts
On January 08 2009 14:30 Divinek wrote: 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. | ||
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SpiritoftheTunA
United States20903 Posts
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) | ||
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Peter[Deuce]
United States93 Posts
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Peter[Deuce]
United States93 Posts
On January 08 2009 14:34 SpiritoftheTunA wrote: 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! | ||
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SpiritoftheTunA
United States20903 Posts
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 | ||
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Peter[Deuce]
United States93 Posts
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zeks
Canada1068 Posts
b) 20 2nd year math major approved  | ||
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Divinek
Canada4045 Posts
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. | ||
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YianKutKu
United States142 Posts
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. 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. | ||
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