A friend of mine is giving a dinner party. His current wine supply includes 12 b

Question

A friend of mine is giving a dinner party. His current wine supply includes 12 bottles of zinfandel, 11 of merlot, and 8 of cabernet (he only drinks red wine), 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? (b) If 6 bottles of wine are to be randomly selected from the 31 for serving, how many ways are there to do this? (c) If 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? (d) If 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (Round your answer to three decimal places.) (e) If 6 bottles are randomly selected, what is the probability that all of them are the same variety? (Round your answer to three decimal places.)

Explanation / Answer

www.coursehero.com/tutors-problems/?Statistics-and... - This may help you. Since the order is important, there are: A)12p3=12.11.8=1056 B_)31c6=18407025 C)There are( 12c2)(11c2)(8c2)=83160ways (D) Probability=value of c/value of B (e)he can pack He can pick 6 zinfandel 12c6=924ways OR pick 6 merlot in 11c6 pick 6 cabernet in 8c6=48ways

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