Roberto comma Dominique comma Clarice comma and JohnRoberto, Dominique, Clarice, and John 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 equals 2n=2. (b) What is the probability that Roberto and ClariceRoberto and Clarice attend the conference? (c) What is the probability that ClariceClarice attends the conference? (d) What is the probability that RobertoRoberto stays home?

Question

Mathematics

Nicolas Hurst

28 November, 17:06

Roberto comma Dominique comma Clarice comma and JohnRoberto, Dominique, Clarice, and John 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 equals 2n=2. (b) What is the probability that Roberto and ClariceRoberto and Clarice attend the conference? (c) What is the probability that ClariceClarice attends the conference? (d) What is the probability that RobertoRoberto stays home?

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Answers (1)

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Emiliano Benjamin · Answer 1

See explanation.

Step-by-step explanation:

a) The sample space is as follows:

(Roberto, Dominique), (Roberto, Clarice), (Roberto, John), (Dominique, Clarice), (Dominique, John), (Clarice, John). 6 in total.

b) Roberto and Clarice is one of six samples, so the probability is 1/6

c) Clarice appears in 3 of the samples, so the probability is 3/6 = 1/2.

d) Roberto does not appear in 3 samples, so the probability is 3/6 = 1/2.