<?xml version="1.0" encoding="UTF-8" standalone="yes"?><oembed><version><![CDATA[1.0]]></version><provider_name><![CDATA[justpuzzles]]></provider_name><provider_url><![CDATA[https://justpuzzles.wordpress.com]]></provider_url><author_name><![CDATA[Teun Spaans]]></author_name><author_url><![CDATA[https://justpuzzles.wordpress.com/author/teunspaans/]]></author_url><title><![CDATA[Polar bears  and other dice&nbsp;puzzles]]></title><type><![CDATA[link]]></type><html><![CDATA[<p>Polar bears is no doubt the most famous dice puzzle around. I first heard it when I studied mathematics, and Douglas Hofstadters book &#8220;Godel, Escher, Bach&#8221; may have been the source.<br />
If you want to puzzle your friends, roll 5 dice, and tell the how many polar bears can be spotted. Then roll 5 dice again, let them guess, and tell them the correct number if they guess wrong.</p>
<p><strong>1) Polar bears</strong><sup>***/*****</sup><br />
The polar bears puzzle is traditionally presented as a throw of 5 dice. If you are stumped, don&#8217;t despair, it is rumored that Bill Gates could only partially solve it.<br />
<a href="https://justpuzzles.wordpress.com/2019/05/31/polar-bears-and-other-dice-puzzles/polar-bears-bears/" rel="attachment wp-att-5843"><img loading="lazy" data-attachment-id="5843" data-permalink="https://justpuzzles.wordpress.com/2019/05/31/polar-bears-and-other-dice-puzzles/polar-bears-bears/" data-orig-file="https://justpuzzles.files.wordpress.com/2019/05/polar-bears-bears-2.png" data-orig-size="906,552" data-comments-opened="1" data-image-meta="{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}" data-image-title="Polar bears &#8211; bears" data-image-description="" data-image-caption="" data-medium-file="https://justpuzzles.files.wordpress.com/2019/05/polar-bears-bears-2.png?w=300" data-large-file="https://justpuzzles.files.wordpress.com/2019/05/polar-bears-bears-2.png?w=906" src="https://justpuzzles.files.wordpress.com/2019/05/polar-bears-bears-2.png?w=604&#038;h=368" alt="" width="604" height="368" class="alignnone size-full wp-image-5843" srcset="https://justpuzzles.files.wordpress.com/2019/05/polar-bears-bears-2.png?w=604&amp;h=368 604w, https://justpuzzles.files.wordpress.com/2019/05/polar-bears-bears-2.png?w=150&amp;h=91 150w, https://justpuzzles.files.wordpress.com/2019/05/polar-bears-bears-2.png?w=300&amp;h=183 300w, https://justpuzzles.files.wordpress.com/2019/05/polar-bears-bears-2.png?w=768&amp;h=468 768w, https://justpuzzles.files.wordpress.com/2019/05/polar-bears-bears-2.png 906w" sizes="(max-width: 604px) 100vw, 604px" /></a><br />
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Even though you may find it hard, I do encourage you to try to solve it before consulting the answer.</p>
<p> You can check your solution <a href="https://justpuzzles.wordpress.com/Solutions to puzzles 501-750/#521">here</a></p>
<p><strong>2) Seals</strong><sup>***/*****</sup><br />
Polar bears hunt for seals. How many seals do you count?<br />
This puzzle is inspired by the authors of <a href="https://www.pleacher.com/handley/puzzles/polrbear.html" rel="nofollow">https://www.pleacher.com/handley/puzzles/polrbear.html</a>.<br />
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<p> You can check your solution <a href="https://justpuzzles.wordpress.com/Solutions to puzzles 501-750/#531">here</a></p>
<p><strong>3) Fish</strong><sup>***/*****</sup><br />
This puzzle too is inspired by the authors above, though in both instances I changed names to get a more logical picture.<br />
<a href="https://justpuzzles.wordpress.com/2019/05/31/polar-bears-and-other-dice-puzzles/polar-bears-fish/" rel="attachment wp-att-5848"><img loading="lazy" data-attachment-id="5848" data-permalink="https://justpuzzles.wordpress.com/2019/05/31/polar-bears-and-other-dice-puzzles/polar-bears-fish/" data-orig-file="https://justpuzzles.files.wordpress.com/2019/05/polar-bears-fish-1.png" data-orig-size="849,533" data-comments-opened="1" data-image-meta="{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}" data-image-title="Polar bears &#8211; fish" data-image-description="" data-image-caption="" data-medium-file="https://justpuzzles.files.wordpress.com/2019/05/polar-bears-fish-1.png?w=300" data-large-file="https://justpuzzles.files.wordpress.com/2019/05/polar-bears-fish-1.png?w=849" src="https://justpuzzles.files.wordpress.com/2019/05/polar-bears-fish-1.png?w=604&#038;h=379" alt="" width="604" height="379" class="alignnone size-full wp-image-5848" srcset="https://justpuzzles.files.wordpress.com/2019/05/polar-bears-fish-1.png?w=604&amp;h=379 604w, https://justpuzzles.files.wordpress.com/2019/05/polar-bears-fish-1.png?w=150&amp;h=94 150w, https://justpuzzles.files.wordpress.com/2019/05/polar-bears-fish-1.png?w=300&amp;h=188 300w, https://justpuzzles.files.wordpress.com/2019/05/polar-bears-fish-1.png?w=768&amp;h=482 768w, https://justpuzzles.files.wordpress.com/2019/05/polar-bears-fish-1.png 849w" sizes="(max-width: 604px) 100vw, 604px" /></a><br />
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<p> You can check your solution <a href="https://justpuzzles.wordpress.com/Solutions to puzzles 501-750/#551">here</a></p>
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