Problem 1267. Calculate the probability that at least two people in a group share the same birthday.

Created by Jeremy

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>Calculate the probability that at least two people in a group share the same birthday. Given an integer input n, return to 0.015 (1.5%) precision the probability of this being the case. Assume that every day is equally probable as a birthday and ignore the leap year.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Example:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[Input: 1\nOutput: 0.00\n\nInput: 366\nOutput: 1.00]]></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

182 Solutions
61 Solvers

Last Solution submitted on Feb 05, 2021

Last 200 Solutions

Problem Comments

2 Comments

2 Comments

Massimo Zanetti on 7 Oct 2016

I assume n is the number of people in the room.....

Edward Huang on 5 Mar 2020

Although I got the solution, in the case of n=100, however, it results in 1.000, which means there MUST be at least two people share their birthday in a group of 100. Am I missing something here?

Problem Recent Solvers61

Problem Tags

probability

Community Treasure Hunt

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

Start Hunting!