Problem 1159. Coin Tossing: Probability of Same Heads for N tosses

Created by Richard Zapor

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>A pair of physicists toss a coin n times each.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>What is the probability that they tossed the same number of heads?</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>Input:</w:t></w:r><w:r><w:t> N % number of tosses</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>Output:</w:t></w:r><w:r><w:t> P</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>Examples:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>N=1 P=0.5;</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>N=2 P=0.375</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Test Suite will round to 6 places</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

98 Solutions
42 Solvers

Last Solution submitted on Feb 15, 2022

Last 200 Solutions

Problem Comments

Solution Comments

Solution 184390

1 Comment

1 Comment

Tim on 2 Jan 2013

This fails for test case 4 even though it is mathematically correct--it gives 0.27343749999999994 instead of 0.2734375, while the test suite asks for 0.273438; it seems as though a fair test generally has to be of the form abs(y-y_correct)

Problem Recent Solvers42

Problem Tags

Community Treasure Hunt

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

Start Hunting!

Problem 1159. Coin Tossing: Probability of Same Heads for N tosses

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers42

Suggested Problems

More from this Author260

Problem Tags

Community Treasure Hunt

Problem 1159. Coin Tossing: Probability of Same Heads for N tosses

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers42

Suggested Problems

More from this Author260

Problem Tags

Community Treasure Hunt

Players