Clarice, John, Dominique, Roberto, and marco work for a publishing company. The company wants to send two employees to a statistics conference. To be fair, the company decides that the two individuals who get to attend will have their names randomly drawn from a hat. (a) Determine the sample space of the experiment. That is, list all possible simple random samples of size n=2. (b) What is the probability that Roberto and Marco attend the conference? (c) What is the probability that Dominique attends the conference?

Clarice, John, Dominique, Roberto, and marco work for a publishing company. The company wants to send two employees to a statistics conference. To be fair, the company decides that the two individuals who get to attend will have their names randomly drawn from a hat. (a) Determine the sample space of the experiment. That is, list all possible simple random samples of size n=2. (b) What is the probability that Roberto and Marco attend the conference? (c) What is the probability that Dominique attends the conference?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.7: Probability

Problem 4SE: What is the difference between events and outcomes? Give an example of both using the sample space...

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Part 1

Definition Definition For any random event or experiment, the set that is formed with all the possible outcomes is called a sample space. When any random event takes place that has multiple outcomes, the possible outcomes are grouped together in a set. The sample space can be anything, from a set of vectors to real numbers.

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(a)	Determine the sample space of the experiment. That is, list all possible simple random samples of size n=2.
(b)	What is the probability that Roberto and Marco attend the conference?
(c)	What is the probability that Dominique attends the conference?
(d)	What is the probability that John stays home?