A friend of mine is giving a dinner party. His current wine supply includes 7 bottles of zinfandel, 13 of merlot, and 9 of cabernet (he only drinks red wine), all from different wineries. If he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? If 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? If 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety?
A friend of mine is giving a dinner party. His current wine supply includes 7 bottles of zinfandel, 13 of merlot, and 9 of cabernet (he only drinks red wine), all from different wineries. If he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? If 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? If 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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Transcribed Image Text:A friend of mine is giving a dinner party. His current wine supply includes 7 bottles of zinfandel, 13 of merlot, and 9 of cabernet (he only drinks red wine), all from different wineries.
If he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this?
If 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this?
If 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety?
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.)
If 6 bottles are randomly selected, what is the probability that all of them are
same variety? (Round your answer to three decimal places.)
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