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Probality Question...

B

bubbadu

Diamond Member
I am taking stat/ applied probality this semester and this homework we have every week is really pissing me off. This is problem 1, and I have no idea how to start it.

A friend of mine is having a wine party. His supply includes 8 bottles of zinfandel, 10 of merlot, and 12 of cabernet all from different wineries.

a) If he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this?

If someone could just get me started that would be cool. Thanks :beer:
 
Originally posted by: SaintGRW
960

if only 3 of the 8 bottles: 360
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Thats what I thought. Thanks. For some reason I am pretty sure this author is a drunk and or Zim Hosein in hideing 😛
 
Originally posted by: SaintGRW
please wait until more people chime in though before you take the answer from a highschool drop out and run.
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Anyone else want to make sure that answers right?
 
a) It's probability
b) Clarify the question. "8 bottles of zinfandel, 10 of merlot, and 12 of cabernet all from different wineries" Does that mean each cabernet is different? And is he serving all the wine or can he serve only a few bottles?
 
Originally posted by: OulOat
a) It's probability
b) Clarify the question. "8 bottles of zinfandel, 10 of merlot, and 12 of cabernet all from different wineries" Does that mean each cabernet is different? And is he serving all the wine or can he serve only a few bottles?
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That was the exact wording of the question 🙁 The text gives no indication on whether or not they are different in that sense. The author includes ALOT of BS in these questions and tries to be funny. Such as "He only drinks red wine". I am just trying to nail some of these because I bombed the first two homeworks, but luckly hes going to drop two anyway. The TA is super tough on grading and everyone is complaining anyway. I am assuming that you are selecting 3 bottles of wine out of the 30 in question, but you have to make sure the order is in there. 🙁 Now I know why someone else in the class yesterday said they had questions about this set.
 
If it's anything like what I think you mean, it is (10!)*(12!)*(8 choose 3). This means he has to serve all the bottles of merlot and cabernet, and only 3 bottles of zinfandel. Each bottle is also distinct and order does matter.
 
Originally posted by: marquee
If you're only serving 3 bottles, and you have 8 different zinfadels, there are 8*7*6 = 336 ways of serving them.
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Thank you, thats most likely the right answer. Now who wants to help me with the 508303803509335 other problems I have left?
 
Originally posted by: marquee
If you're only serving 3 bottles, and you have 8 different zinfadels, there are 8*7*6 = 336 ways of serving them.
Click to expand...

If he is serving only 3 bottles and they must be all zinfadels, then this is correct
 
Originally posted by: OulOat
Originally posted by: marquee
If you're only serving 3 bottles, and you have 8 different zinfadels, there are 8*7*6 = 336 ways of serving them.
Click to expand...

If he is serving only 3 bottles and they must be all zinfadels, then this is correct
Click to expand...

Yeah thats why the book is INSANE, its completely up to the student to try and figure what it really means. Last week, the whole class did really bad on the set.. hopefully with enough b*tching, the TA won't be that bad on this set 🙁
 
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