A friend of mine is giving a dinner party. His current wine supply includes 11 bottles of zinfandel, 9 of merlot, and 13 of cabernet (he only drinks red wine), all from different WInelnes. (a) If he wants to serve 3 bottles of zinfandel and serving'order is important, how many ways are there to do this? 990 (b) If 6 bottles of wine are to be randomly selected from the 33 for serving, how many ways are there to do this? 1107568 (c) If 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? 2 (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.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Only e

A friend of mine is giving a dinner party. His current wine supply includes 11 bottles of zinfandel, 9 of merlot, and 13 of cabernet (he only drinks red wine), all from different winel
(a) If he wants to serve 3 bottles of zinfandel and serving'order is important, how many ways are there to do this?
990
(b) If 6 bottles of wine are to be randomly selected from the 33 for serving, how many ways are there to do this?
1107568
(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.)
Transcribed Image Text:A friend of mine is giving a dinner party. His current wine supply includes 11 bottles of zinfandel, 9 of merlot, and 13 of cabernet (he only drinks red wine), all from different winel (a) If he wants to serve 3 bottles of zinfandel and serving'order is important, how many ways are there to do this? 990 (b) If 6 bottles of wine are to be randomly selected from the 33 for serving, how many ways are there to do this? 1107568 (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.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman