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2023 WSMO Accuracy Round Problems/Problem 5

Revision as of 15:35, 2 May 2025 by Pinkpig (talk | contribs) (Created page with "==Problem== Bob flips <math>x+1</math> coins and Bobby flips <math>x</math> coins, where <math>x</math> is a random integer chosen between the range of <math>[27,100].</math>...")
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Problem

Bob flips $x+1$ coins and Bobby flips $x$ coins, where $x$ is a random integer chosen between the range of $[27,100].$ The expected probability that Bob gets more heads than Bobby is $\frac{m}{n},$ for relatively prime positive integers $m$ and $n.$ Find $m+n$.

Solution

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