Math & Data Science Q&A - Get answers from our AI that are verified by human experts
First time here? Checkout the FAQs!
x

*Math Image Search only works best with zoomed in and well cropped math screenshots. Check DEMO

MathsGee Android Q&A


0 like 0 dislike
205 views
You are interviewing 6 candidates for a job. As you proceed, you determine the relative ranks of the candidates (you won't know the "true rank" until you have interviewed all of them). Thus, if there are 6 candidates with true rank \(6,1,4,2,3,5\), then after interviewing the first three candidates you would rank them \(3,1,2\).
Alas, after you interview a candidate, you either hire that person or the candidate leaves and can no longer be considered.
You want a strategy when to stop and accept a candidate, maximizing the likelihood of getting the best candidate. Assume there are 6 candidates, and they arrive in a random order.
a) What is the probability that you get the best candidate if you interview all of the candidates? What if you immediately choose the first candidate?
b) Say you adopt the strategy of interviewing the first half of the candidates and then accept the first of the following candidates who is better than any seen so far (if you have seen all the candidates so are at the last candidate then by these rules you must accept that person). Show (by a crude estimate) that you have a chance of less than \(50 \%\) of getting the the best candidate - but better than a \(25 \%\) chance of getting the the best candidate.
in Mathematics by Platinum (164,228 points) | 205 views

1 Answer

0 like 0 dislike
Best answer
SOLUTION: Using this strategy you win if the second best candidate is in the first group of 5 and the best candidate is in the last group of 5, so \(25 \%\) of the time.
by Platinum (164,228 points)

Related questions

1 like 0 dislike
1 answer
0 like 0 dislike
0 answers
2 like 0 dislike
0 answers
asked Jul 7, 2020 in Data Science & Statistics by anonymous | 176 views
1 like 0 dislike
1 answer
0 like 0 dislike
1 answer
0 like 0 dislike
0 answers

Join MathsGee and get expert-verified answers to your maths and data science questions fast. We use a combination of generative AI and human experts to provide you the best answers to your questions. Ask a question now!


On the MathsGee, you can:


1. Ask and answer questions


2. Get expert-verified answers


3. Vote on questions and answers


4. Tip your favorite community members


5. Join expert live video sessions (Paid/Free)


6. Earn points by participating


7. Start a Fundraiser



Posting on MathsGee


1. Remember the human


2. Act like you would in real life


3. Find original source of content


4. Check for duplicates before publishing


5. Read the community guidelines




MathsGee Rules


1. Answers to questions will be posted immediately after moderation


2. Questions will be queued for posting immediately after moderation


3. Depending on the number of messages we receive, you could wait up to 24 hours for your message to appear. But be patient as posts will appear after passing our moderation.




MathsGee Android Q&A

MathsGee Android Q&A