Solved

Five thousand runners will participate in the Mountain Marathon. Each runner will randomly be given a different number from 1 to 51000 to wear during the race. What is the probability that the number

Posted on 2010-11-08
4
809 Views
Last Modified: 2012-05-10
Five thousand runners will participate in the Mountain Marathon. Each runner will randomly be given a different number from 1 to 51000 to wear during the race. What is the probability that the number of a second-place finisher will be both greater than the the number of the third-place finisher and less than the number of the first-place finisher? (Assume noties) Express your answer as a fraction.
0
Comment
Question by:praveen_katta
[X]
Welcome to Experts Exchange

Add your voice to the tech community where 5M+ people just like you are talking about what matters.

  • Help others & share knowledge
  • Earn cash & points
  • Learn & ask questions
  • 2
4 Comments
 
LVL 37

Expert Comment

by:TommySzalapski
ID: 34087884
Umm... we don't do your homework for you. Where are you stuck?
0
 
LVL 31

Expert Comment

by:Frosty555
ID: 34087897
experts exchange = not your personal geek

The summary of probability formulas in the "Summary of Probabilities" table on this wikipedia page will help you in solving the problem:

http://en.wikipedia.org/wiki/Probability#Mathematical_treatment
0
 
LVL 37

Expert Comment

by:TommySzalapski
ID: 34087990
I'd actually approach this as a permutations problem. You know there will be three numbers. You know they are unique. How many ways can they be arranged? How many of these ways satisfy the description? Are all the permutations equally likely?

If this makes no sense, ignore it. If it does, use it to make the problem super easy.
That's all the help I feel comfortable giving. Your prof and your textbook are good resources too.
0
 
LVL 18

Accepted Solution

by:
deighton earned 500 total points
ID: 34092544
the problem here is to see the wood for the trees.  What you are interested in is only the first 3 finishers, and they all have a different number.  It doesn't matter what the numbers are, can you see that?  It will always be possible to order the numbers of the top 3.

Think about the top three runners, if their numbers were 1,2 & 3, so they are asking you the chances of the finish being

3,2,1


how many ways could you arrange that?
0

Featured Post

Free Tool: Subnet Calculator

The subnet calculator helps you design networks by taking an IP address and network mask and returning information such as network, broadcast address, and host range.

One of a set of tools we're offering as a way of saying thank you for being a part of the community.

Question has a verified solution.

If you are experiencing a similar issue, please ask a related question

How to Win a Jar of Candy Corn: A Scientific Approach! I love mathematics. If you love mathematics also, you may enjoy this tip on how to use math to win your own jar of candy corn and to impress your friends. As I said, I love math, but I gu…
This article provides a brief introduction to tissue engineering, the process by which organs can be grown artificially. It covers the problems with organ transplants, the tissue engineering process, and the current successes and problems of the tec…
Although Jacob Bernoulli (1654-1705) has been credited as the creator of "Binomial Distribution Table", Gottfried Leibniz (1646-1716) did his dissertation on the subject in 1666; Leibniz you may recall is the co-inventor of "Calculus" and beat Isaac…
I've attached the XLSM Excel spreadsheet I used in the video and also text files containing the macros used below. https://filedb.experts-exchange.com/incoming/2017/03_w12/1151775/Permutations.txt https://filedb.experts-exchange.com/incoming/201…

734 members asked questions and received personalized solutions in the past 7 days.

Join the community of 500,000 technology professionals and ask your questions.

Join & Ask a Question