Problem 226. What are the odds?

Created by Matt Fig

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Two numbers, A and B are drawn randomly and uniformly on [-R,R]. What is the probability that A*B &lt; A+B. Your function should take one variable, R, and return the probability to within 100*eps. For example, if R = 1/2, then the probability should be:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>0.560930216216329</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Solve

Solution Stats

174 Solutions
25 Solvers

Last Solution submitted on Apr 13, 2022

Last 200 Solutions

Problem Comments

2 Comments

2 Comments

Gergely Patay on 13 May 2015

Please update the last test case:
"Error: BITMAX has been removed. Use FLINTMAX instead."

Rafael S.T. Vieira on 30 Jul 2020

Good problem, but the required precision is way too high. It not only prohibits brute-force methods but also multiple integrations. I was forced to find the corresponding isocurve, which was a little annoying (in other words, the formula which rendered the greatest precision).

Problem Recent Solvers25

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 226. What are the odds?

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers25

Suggested Problems

More from this Author6

Problem Tags

Community Treasure Hunt

Problem 226. What are the odds?

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers25

Suggested Problems

More from this Author6

Problem Tags

Community Treasure Hunt

Players