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An Olympic trial II (Posted on 2022-03-08) 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. But sometimes they know what score they need to beat to win the competition. How hard a trick should they try?

Model the situation as before: the difficulty, d, of the trick to be attempted is chosen as a number from 0 to 1.

The attempt, a, is a randomly chosen from the uniform distribution (0,1)

If a<d the trick fails and scores 0.

If a>d the trick is successful and scores a*d.

Now suppose our competitor is going for the gold and has one final attempt to beat the current highest score of 0.6

What difficulty should be attempted to maximize the chance of winning?

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

Comments: ( You must be logged in to post comments.)
  Subject Author Date
ThanksDuane2022-03-19 05:41:51
great workDuane2022-03-18 23:58:28
good workDuane2022-03-18 23:57:30
SolutionWinning the gold (spoiler)Steve Herman2022-03-08 10:18:05
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