http://mathpuzzlewiki.com/index.php?action=history&feed=atom&title=Poppy_party_pizza 2026-04-03T19:50:20Z Revision history for this page on the wiki MediaWiki 1.44.0 http://mathpuzzlewiki.com/index.php?title=Poppy_party_pizza&diff=1170&oldid=prev 2013-07-07T02:45:18Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 20:45, 6 July 2013</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[File:Poppypartypizza.png]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>This was recently a {{MCP}}, based on a problem in {{DMwD}}.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>This was recently a {{MCP}}, based on a problem in {{DMwD}}.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> </table>

Oscarlevin http://mathpuzzlewiki.com/index.php?title=Poppy_party_pizza&diff=1169&oldid=prev 2013-07-07T02:44:52Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 20:44, 6 July 2013</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">[[File:Poppypartypizza.png]]</ins></div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>This was recently a {{MCP}}, based on a problem in {{DMwD}}.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>This was recently a {{MCP}}, based on a problem in {{DMwD}}.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> </table>

Oscarlevin http://mathpuzzlewiki.com/index.php?title=Poppy_party_pizza&diff=1164&oldid=prev 2013-07-07T02:32:45Z

<p>Created page with &quot;This was recently a {{MCP}}, based on a problem in {{DMwD}}. ==Puzzle== You are making your famous 1 foot square party pizza. After rolling out the dough, you sprinkle on exa...&quot;</p> <p><b>New page</b></p><div>This was recently a {{MCP}}, based on a problem in {{DMwD}}.<br /> <br /> ==Puzzle==<br /> You are making your famous 1 foot square party pizza. After rolling out the dough, you sprinkle on exactly 37 poppy seeds (your secret ingredient). The poppy seeds fall randomly onto the pizza dough (and luckily none roll off).<br /> <br /> What is the probability that at least two poppy seeds will land within 3 inches of each other?<br /> <br /> ==Help==<br /> <br /> {{Hint | This is not really a problem about probability.}}<br /> {{Answer | 1}}<br /> {{Solution | Divide the pizza into 36 equal squares, each with side length 2 inches. By the pigeonhole principle, there must be at least one square containing two or more poppy seeds. Note that the maximum distance between any two seeds in the same square is &lt;m&gt;\sqrt{8} &lt; 3&lt;/m&gt;, the length of the diagonal of the square. Thus you are guaranteed to have at least two poppy seeds within 3 inches of each other.}}<br /> <br /> [[Category:Pigeonhole principle]]<br /> [[Category:Geometry]]<br /> [[Category:Combinatorics]]<br /> [[Category:New]]</div>

Oscarlevin