https://charlesreid1.com/w/index.php?action=history&feed=atom&title=Project_Euler%2F232 2026-06-19T16:29:52Z Revision history for this page on the wiki MediaWiki 1.39.12 https://charlesreid1.com/w/index.php?title=Project_Euler/232&diff=30623&oldid=prev 2026-06-17T21:18:58Z

<p>Create Project Euler/232 - The Race (via create-page on MediaWiki MCP Server)</p> <p><b>New page</b></p><div>==Problem Statement==<br /> <br /> &#039;&#039;&#039;The Race&#039;&#039;&#039;<br /> <br /> Two players share an unbiased coin and take it in turns to play &quot;The Race&quot;. On Player 1&#039;s turn, he tosses the coin once: if it comes up Heads, he scores one point; if it comes up Tails, he scores nothing. On Player 2&#039;s turn, she chooses a positive integer T and tosses the coin T times: if it comes up all Heads, she scores 2^{T-1} points; otherwise, she scores nothing. Player 1 goes first. The winner is the first to 100 or more points.<br /> <br /> On each turn Player 2 selects the number, T, of coin tosses that maximises the probability of her winning.<br /> <br /> What is the probability that Player 2 wins?<br /> <br /> Give your answer rounded to eight decimal places in the form 0.abcdefgh.<br /> <br /> ==Flags==<br /> <br /> {{ProjectEulerFlag}}</div>

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