A friend of mine is giving a dinner party. His current wine supply includes 8 bottles of zinfandel, 10 of merlot, and 12 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 30 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?

A friend of mine is giving a dinner party. His current wine supply includes 8 bottles of zinfandel, 10 of merlot, and 12 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 30 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?

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Description: A friend of mine is giving a dinner party. His currentwine supply includes 8 bottles of zinfandel, 10 of merlot,and 12 of cabernet (he only drinks red wine), all fromdifferent wineries.a. If he wants to serve 3 bottles of zinfandel and servingorder i

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Concept explainers

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.

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Question

A friend of mine is giving a dinner party. His current
wine supply includes 8 bottles of zinfandel, 10 of merlot,
and 12 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 30 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?

e. If 6 bottles are randomly selected, what is the probability that all of them are the same variety?

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