Who goes to Paris? You and four other students in your group (Abby, Deborah, Mei
ID: 3227859 • Letter: W
Question
Who goes to Paris? You and four other students in your group (Abby, Deborah, Mei-Ling, and Roberto) did an awesome group project this quarter and your report has been selected for presentation at an academic conference in Paris. I have enough money to send two of you to the conference to present your group's work. To avoid unfairness, I will make the choice by drawing two names from a hat. You want to know what's the probability that you'll go and what's the likelihood that you'll go with someone you like (Abby or Roberto). What is the sample space for this probability model? The random drawing from a hat makes all events in the probability model equally likely. What's the probability of each choice? What's the probability that you'll be chosen? What's the probability that you and either Abby or Roberto will be chosen?Explanation / Answer
We are given that Abby, Deborah, Mei-Ling, Sam, and Roberto work in a firm's public relations office.
Their employer must choose two of them to attend a conference in Paris. To avoid unfairness, the choice will be made by drawing two names from a hat (This is an SRS of size 2.)
a.
The sample space is,
{(A,D), (A,M), (A,I),(A,R),(D,M),(D,I),(D,R),(M,I),(M,R),(I,R)}
b.
We given that Random drawing makes all choices equally likely.
There are 10 possible chance to select two of the 5 names , So the probability of each choice is 1/10
c.
P(Choos I)=4/10
d.
P(You and either Abby or Roberto)=2/10=1/5
Hope this will be helpful. Thanks and God Bless you :-)
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