All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Just Math > Calculus
An Olympic trial (Posted on 2022-03-01) Difficulty: 2 of 5
In some Olympic sports, the athletes compete for the highest score on a trick. The judges score the trick based on how well it is completed as well as its level of difficulty. As a result, the competitors try the hardest trick they think they can successfully complete. How hard should they try?

Let's call the difficulty of the attempted trick a number 0<d<1.

The attempt is a randomly chosen from the uniform distribution 0<a<1.

If a<d the trick fails and no points are scored.

If a>d the trick succeeds and scores d*a.

What difficulty should be attempted for the highest expected score?

No Solution Yet Submitted by Jer    
Rating: 4.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionHope I did not make a mistake (spoiler)Steve Herman2022-03-01 12:27:20
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (15)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2023 by Animus Pactum Consulting. All rights reserved. Privacy Information