Problem 1268. Penny flipping - calculate winning probability (easy)

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>Two players are playing a fair penny flipping game. For each flip, the winner adds one penny from the loser's collection to his/her collection. This continues until one player runs out of pennies and loses the game.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Calculate the probability of winning for the first player, given the first player's number of coins, m, and the second player's number of coins, n.</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: m = 1, n =1\nOutput: 0.50]]></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

256 Solutions
158 Solvers

Last Solution submitted on May 02, 2022

Last 200 Solutions

Problem Comments

1 Comment

1 Comment

Asif Newaz on 13 Dec 2019

https://en.wikipedia.org/wiki/Gambler%27s_ruin#Fair_coin_flipping

Problem Recent Solvers158

Problem Tags

Community Treasure Hunt

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

Start Hunting!

Problem 1268. Penny flipping - calculate winning probability (easy)

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers158

Suggested Problems

More from this Author7

Problem Tags

Community Treasure Hunt

Problem 1268. Penny flipping - calculate winning probability (easy)

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers158

Suggested Problems

More from this Author7

Problem Tags

Community Treasure Hunt

Players