Problem 54214. To Bet or Not to Bet

Created by David Hill

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{"parts":[{"partUri":"/matlab/document.xml","contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Given your current poker hand, the visible cards of your opponent's hand, and the total number of cards being dealt (5 card stud or 7 card stud). Determine whether or not you are likely to not lose the hand (output 1) or otherwise output zero. Your hand will be a matrix of card values (1:13 two=1, ace=13) in the first column and suits (1:4 clubs:spades) in the second column. Similarly for opponent's hand. Total cards (either 5 or 7) will indicate 5 card stud and 7 card stud. </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>Since this is a Monte Carlo, I provided some slop in the answer. I performed 40,000 iterations for each hand, so the slop should be sufficient to cover reduced iterations (such as my reference solution which only did 3000 iterations each).</w:t></w:r></w:p></w:body></w:document>","relationship":null}],"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","target":"/matlab/document.xml","relationshipId":"rId1"}]}

<div style = "text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; "><div style="block-size: 126px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 63px; transform-origin: 407px 63px; vertical-align: baseline; "><div style="font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 63px; text-align: left; transform-origin: 384px 63px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">Given your current poker hand, the visible cards of your opponent's hand, and the total number of cards being dealt (5 card stud or 7 card stud). Determine whether or not you are likely to not lose the hand (output 1) or otherwise output zero. Your hand will be a matrix of card values (1:13 two=1, ace=13) in the first column and suits (1:4 clubs:spades) in the second column. Similarly for opponent's hand. Total cards (either 5 or 7) will indicate 5 card stud and 7 card stud. </span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="font-weight: 700; ">Since this is a Monte Carlo, I provided some slop in the answer. I performed 40,000 iterations for each hand, so the slop should be sufficient to cover reduced iterations (such as my reference solution which only did 3000 iterations each).</span></span></div></div></div>

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Last Solution submitted on Mar 21, 2022

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Problem 54214. To Bet or Not to Bet

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