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Difficulty: 2 of 5 Latest: An Olympic trial Rating: 4.00
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, 1 Comments) Submitted on 2022-03-01 by Jer   
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