Roberto Dominique, John and Clarice work a publahing company The company wants t

Question

Roberto Dominique, John and Clarice work a publahing company The company wants to send two employees to·stai ics corderence To be 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 hait John and Clarice attend the conference? (c) What is the probability that John attends the conference (d) What is the probability that Roberto stays home? te co ???deddes tat-two nse ab whe to aendad have (a) Choose the correct answer below Note that each person is represented by the rst letter in their name OB. RD. RJ, RC DJ. DC, JC, DR.JR CR JD CD. C OD. RD, RJ RC DJ, DC, JC (bl The probablity that John and Clarice attend the conference is Round to one decienal place as needed ) (c) The probability that John attends the conference is Round to one decimal place as needed) (d) The probability that Roberto stays home is Round to one decimal place as needed ) Cick to serect your ans

Explanation / Answer

Answer

we have 4 employees, so possible number of ways of selecting two employees at a time is given as

Number of ways = 4!/2! = (4*3*2*1)/(2*1) = 12 ways

so, correct answer for (A) part is option B

Part (B)

Favorable outcome for John and Clarice is JC, i.e. 1

total outcome = 12

so, required probability = favorable/total = 1/12 = 0.1

Part (C)

Favorable outcome for John are RJ, DJ, JC, JR, JD, CJ i.e. 6

total outcome = 12

so, required probability = favorable/total = 6/12 = 0.5

Part (D)

Favorable outcome for Roberts to stay at home are DJ, DC,JC,JD,CD, CJ i.e. 6

total outcome = 12

so, required probability = favorable/total = 6/12 = 0.5

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