<?xml version="1.0" encoding="UTF-8" ?>
  <resource>
  <id>1220</id>
  <path>/www/nrich/html/content/00/02/game3/</path>
  <resourceTypeID>2</resourceTypeID>
  <last_published>2011-02-01T00:00:01</last_published>
  <indexXML>&lt;?xml version=&quot;1.0&quot; encoding=&quot;UTF-8&quot;?&gt;
&lt;mdoxml version=&quot;1.0&quot;&gt;&lt;br&gt;&lt;/br&gt;
&lt;p&gt;To play the game, take cards alternately. You win if you get all the occurrences of the same letter. (e.g. AN, ON and LINE contain all occurrences of the letter N)&lt;/p&gt;
&lt;p&gt;Can you devise a strategy so that you never lose?&lt;/p&gt;
&lt;p&gt;Can you explain your strategy?&lt;/p&gt;
&lt;center&gt;&lt;mdo:flash height=&quot;320&quot; id=&quot;/content/00/02/game3/online.swf&quot; width=&quot;390&quot;&gt;&lt;param name=&quot;allowfullscreen&quot; value=&quot;true&quot;&gt;&lt;/param&gt;&lt;param name=&quot;movie&quot; value=&quot;online.swf&quot;&gt;&lt;/param&gt;
&lt;param name=&quot;quality&quot; value=&quot;high&quot;&gt;&lt;/param&gt;
&lt;param name=&quot;bgcolor&quot; value=&quot;#DCE7ED&quot;&gt;&lt;/param&gt;
&lt;/mdo:flash&gt;&lt;/center&gt;
&lt;p&gt;You can print these cards out to play if you like.&lt;/p&gt;
&lt;table style=&quot;border-spacing:10px;&quot; border=&quot;&quot;&gt;
&lt;tbody&gt;
&lt;tr&gt;
&lt;td align=&quot;center&quot; width=&quot;50&quot; style=&quot;padding:30px;&quot;&gt;&lt;strong&gt;EAT&lt;/strong&gt;&lt;/td&gt;
&lt;td align=&quot;center&quot; width=&quot;50&quot; style=&quot;padding:30px;&quot;&gt;&lt;strong&gt;AN&lt;/strong&gt;&lt;/td&gt;
&lt;td align=&quot;center&quot; width=&quot;50&quot; style=&quot;padding:30px;&quot;&gt;&lt;strong&gt;LAF&lt;/strong&gt;&lt;/td&gt;
&lt;td align=&quot;center&quot; width=&quot;50&quot; style=&quot;padding:30px;&quot;&gt;&lt;strong&gt;IT&lt;/strong&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td align=&quot;center&quot; width=&quot;50&quot; style=&quot;padding:30px;&quot;&gt;&lt;strong&gt;LINE&lt;/strong&gt;&lt;/td&gt;
&lt;td align=&quot;center&quot; width=&quot;50&quot; style=&quot;padding:30px;&quot;&gt;&lt;strong&gt;IF&lt;/strong&gt;&lt;/td&gt;
&lt;td align=&quot;center&quot; width=&quot;50&quot; style=&quot;padding:30px;&quot;&gt;&lt;strong&gt;LOT&lt;/strong&gt;&lt;/td&gt;
&lt;td align=&quot;center&quot; width=&quot;50&quot; style=&quot;padding:30px;&quot;&gt;&lt;strong&gt;ON&lt;/strong&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td align=&quot;center&quot; width=&quot;50&quot; style=&quot;padding:30px;&quot;&gt;&lt;strong&gt;FOE&lt;/strong&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p&gt;Look at all of these games. What do you notice about the strategies they employ?&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href=&quot;../public/viewer.php?obj_id=1224&quot;&gt;Noughts and Crosses&lt;/a&gt;&lt;/li&gt;
&lt;li&gt;Online&lt;/li&gt;
&lt;li&gt;&lt;a href=&quot;../public/viewer.php?obj_id=1223&quot;&gt;Fifteen&lt;/a&gt;&lt;/li&gt;
&lt;li&gt;&lt;a href=&quot;../public/viewer.php?obj_id=1230&quot;&gt;Jam&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;We suggest tackling them in the order given.&lt;/p&gt;
&lt;p&gt; &lt;/p&gt;
&lt;p&gt;&lt;a href=&quot;http://nrich.maths.org/public/viewer.php?obj_id=5006&amp;amp;part=&quot;&gt;Click here for a poster of this problem&lt;/a&gt;.&lt;/p&gt;
&lt;br&gt;&lt;/br&gt;&lt;/mdoxml&gt;</indexXML>
  <solutionXML/>
  <noteXML/>
  <clueXML/>
  <canonXML/>
  <end_user_role>2</end_user_role>
  <difficulty>3</difficulty>
  <keystage1>0</keystage1>
  <keystage2>0</keystage2>
  <keystage3>1</keystage3>
  <keystage4>0</keystage4>
  <keystage4plus>0</keystage4plus>
  <title>Online - a game for two Players</title>
  <description>A game for 2 players that can be played online. Players take it in
turns to select a word from the 9 words given. The aim is to select
all the occurrences of the same letter.</description>
  <spec_group>Using, Applying and Reasoning about Mathematics
    <specifier>Selecting and using information</specifier>
  </spec_group>
  <spec_group>Using, Applying and Reasoning about Mathematics
    <specifier>Games</specifier>
  </spec_group>
  <spec_group>Using, Applying and Reasoning about Mathematics
    <specifier>Mathematical reasoning &amp; proof</specifier>
  </spec_group>
  <spec_group>Information and Communications Technology
    <specifier>Interactivities</specifier>
  </spec_group>
</resource>