Problem 2770. Probability of Choosing a Red Ball

Created by Kevin

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","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\"?>\n<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>Given two jars of red and blue balls, find the probability of choosing a red ball from Jar 1 after going through the steps.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[Step 1: Choose a random ball from Jar 2 and add it to Jar 1\n\nStep 2: Choose a random ball from Jar 1\n\nStep 3: Calculate the probability of the final ball being red]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:rPr><w:b/></w:rPr><w:t>Example:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Given inputs for Jar 1 and Jar 2</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Jar 1: (r1,b1) = (2,7)</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Jar 2: (r2,b2) = (5,5)</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Choose a ball from Jar 2 and add it to Jar 1.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[   _Note: Jar 1 could now have either 3 blue and 7 red or 2 blue and 8 red._]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Taking into consideration both possibilities, the likelihood of the final ball being red is</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>0.25</w:t></w:r><w:r><w:t> .</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

85 Solutions
43 Solvers

Last Solution submitted on Dec 26, 2020

Last 200 Solutions

Problem Comments

2 Comments

2 Comments

Jean-Marie Sainthillier on 12 Aug 2015

I can't submit a solution to this problem. I have the message : There was an issue submitting your solution (Remove inappropriate content. For guidelines, see About Cody). I don't understand why, everything is classic in my code and works fine on my computer. I even can't pass the tests. Any idea ?

Santosh Kasula on 12 Aug 2015

It is a bug in Cody. We are working on fixing it. I will let you know as soon as we fix it.

Problem Recent Solvers43

Problem Tags

probability puzzle

Community Treasure Hunt

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

Start Hunting!