Answered: A friend of mine is giving a dinner…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

A friend of mine is giving a dinner party. His current wine supply includes 9 bottles of zinfandel, 7 of merlot, and 13 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 29 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.)

Expert Solution

Step 1

As per our guidelines we are suppose to answer only three sub parts.

$G i v e n, n o . o f z i n f a n d e l b o t t l e s = 9 n o . o f m e r l o t b o t t l e s = 7 n o . o f c a b e r n e t b o t t l e s = 13 T o t a l n o . o f b o t t l e s = 29$