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	<title>Comments on: The Dice Brain Teaser: A Technical Interview Question that Can Help You Solve Problems Better</title>
	<atom:link href="http://mindyourdecisions.com/blog/2008/05/20/the-dice-brain-teaser-a-technical-interview-question-that-can-help-you-solve-problems-better/feed/" rel="self" type="application/rss+xml" />
	<link>http://mindyourdecisions.com/blog/2008/05/20/the-dice-brain-teaser-a-technical-interview-question-that-can-help-you-solve-problems-better/</link>
	<description>Articles on game theory and personal finance</description>
	<lastBuildDate>Sun, 20 May 2012 23:31:00 +0000</lastBuildDate>
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		<title>By: Quora</title>
		<link>http://mindyourdecisions.com/blog/2008/05/20/the-dice-brain-teaser-a-technical-interview-question-that-can-help-you-solve-problems-better/comment-page-1/#comment-13774</link>
		<dc:creator>Quora</dc:creator>
		<pubDate>Fri, 13 Apr 2012 19:56:30 +0000</pubDate>
		<guid isPermaLink="false">http://mindyourdecisions.com/blog/2008/05/20/the-dice-brain-teaser-a-technical-interview-question-that-can-help-you-solve-problems-better/#comment-13774</guid>
		<description>&lt;strong&gt;What kind of mathematical questions are asked in a Product Manager interview?...&lt;/strong&gt;

It depends a lot on where you&#039;re interviewing and how they view product management. Some firms like to have PM&#039;s as strong data analyst types, and fairly math-technical questions will pop up around basic statistics and probability theory. Some firms ...</description>
		<content:encoded><![CDATA[<p><strong>What kind of mathematical questions are asked in a Product Manager interview?&#8230;</strong></p>
<p>It depends a lot on where you&#8217;re interviewing and how they view product management. Some firms like to have PM&#8217;s as strong data analyst types, and fairly math-technical questions will pop up around basic statistics and probability theory. Some firms &#8230;</p>
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		<title>By: Faisal</title>
		<link>http://mindyourdecisions.com/blog/2008/05/20/the-dice-brain-teaser-a-technical-interview-question-that-can-help-you-solve-problems-better/comment-page-1/#comment-13128</link>
		<dc:creator>Faisal</dc:creator>
		<pubDate>Fri, 16 Dec 2011 23:27:06 +0000</pubDate>
		<guid isPermaLink="false">http://mindyourdecisions.com/blog/2008/05/20/the-dice-brain-teaser-a-technical-interview-question-that-can-help-you-solve-problems-better/#comment-13128</guid>
		<description>Here is how I solved the problem:

Probability I win in any given round - 1/6

Probability that my opponent wins in any given round - (5/6)*(1/6) = 5/36

Since we keep playing till we have a winner, we just need to normalize the above two probabilities.

So the probability I win the game is - 
(1/6)/[(1/6)+(5/36)] = (6/36)/(11/36) = 6/11

So I do get the same answer, with slightly different logic.</description>
		<content:encoded><![CDATA[<p>Here is how I solved the problem:</p>
<p>Probability I win in any given round &#8211; 1/6</p>
<p>Probability that my opponent wins in any given round &#8211; (5/6)*(1/6) = 5/36</p>
<p>Since we keep playing till we have a winner, we just need to normalize the above two probabilities.</p>
<p>So the probability I win the game is &#8211;<br />
(1/6)/[(1/6)+(5/36)] = (6/36)/(11/36) = 6/11</p>
<p>So I do get the same answer, with slightly different logic.</p>
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		<title>By: A Day in the Life of a Game Theorist: A Tribute to One Year of Game Theory Tuesdays - Mind Your Decisions</title>
		<link>http://mindyourdecisions.com/blog/2008/05/20/the-dice-brain-teaser-a-technical-interview-question-that-can-help-you-solve-problems-better/comment-page-1/#comment-9521</link>
		<dc:creator>A Day in the Life of a Game Theorist: A Tribute to One Year of Game Theory Tuesdays - Mind Your Decisions</dc:creator>
		<pubDate>Sat, 20 Aug 2011 06:14:08 +0000</pubDate>
		<guid isPermaLink="false">http://mindyourdecisions.com/blog/2008/05/20/the-dice-brain-teaser-a-technical-interview-question-that-can-help-you-solve-problems-better/#comment-9521</guid>
		<description>[...] Darn you, Presh. You make infinite series seem so conventional. Aside from that, I absolutely adore the third solution. Erik in The Dice Brain Teaser (link) [...]</description>
		<content:encoded><![CDATA[<p>[...] Darn you, Presh. You make infinite series seem so conventional. Aside from that, I absolutely adore the third solution. Erik in The Dice Brain Teaser (link) [...]</p>
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		<title>By: Puzzle: how often does it rain? - Mind Your Decisions</title>
		<link>http://mindyourdecisions.com/blog/2008/05/20/the-dice-brain-teaser-a-technical-interview-question-that-can-help-you-solve-problems-better/comment-page-1/#comment-8587</link>
		<dc:creator>Puzzle: how often does it rain? - Mind Your Decisions</dc:creator>
		<pubDate>Mon, 20 Jun 2011 21:06:37 +0000</pubDate>
		<guid isPermaLink="false">http://mindyourdecisions.com/blog/2008/05/20/the-dice-brain-teaser-a-technical-interview-question-that-can-help-you-solve-problems-better/#comment-8587</guid>
		<description>[...] Hint 1 You can solve this by using the law of total probability (as an example, this is used in solution method 3 of the dice brain teaser) [...]</description>
		<content:encoded><![CDATA[<p>[...] Hint 1 You can solve this by using the law of total probability (as an example, this is used in solution method 3 of the dice brain teaser) [...]</p>
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		<title>By: Quick puzzle: how long to get to heaven? - Mind Your Decisions</title>
		<link>http://mindyourdecisions.com/blog/2008/05/20/the-dice-brain-teaser-a-technical-interview-question-that-can-help-you-solve-problems-better/comment-page-1/#comment-8581</link>
		<dc:creator>Quick puzzle: how long to get to heaven? - Mind Your Decisions</dc:creator>
		<pubDate>Mon, 20 Jun 2011 20:19:26 +0000</pubDate>
		<guid isPermaLink="false">http://mindyourdecisions.com/blog/2008/05/20/the-dice-brain-teaser-a-technical-interview-question-that-can-help-you-solve-problems-better/#comment-8581</guid>
		<description>[...] Hint: see method 3 of the dice brain teaser [...]</description>
		<content:encoded><![CDATA[<p>[...] Hint: see method 3 of the dice brain teaser [...]</p>
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