Question

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?

Answer 1

Answer:

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.