document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=717234>Question 717234</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The following project uses the game of Guess Your Card. This is a game in which<BR>\n" );
document.write( "each player draws (without looking) three (3) cards. Each card has a number between 1 and 9 on it. The players then place their cards on their heads so that everyone but the players can see the cards.\r<BR>\n" );
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document.write( "The object of the game is to guess what cards you have. The first person to do this correctly wins.\r<BR>\n" );
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document.write( "During the play, each player, in turn, draws a question at random from a stack of questions. The player then answers the question based on the cards that he /she sees (not the player’s cards, which the player cannot see).\r<BR>\n" );
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document.write( "An Example\r<BR>\n" );
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document.write( "    Andy has the cards 6, 6, and 7<BR>\n" );
document.write( "    Belle has the cards 3, 6, and 7<BR>\n" );
document.write( "    Carol has the cards 1, 1, and 9<BR>\n" );
document.write( "    Dan has the cards 3, 4, and 8\r<BR>\n" );
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document.write( "Andy draws the question card, “How many 7’s do you see?” He answers, “One,” because he cannot see the 7 on his own head; he sees only the 7 on Belle's head.\r<BR>\n" );
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document.write( "Next, Belle draws the question card, “Of the four even numbers, how many different even numbers do you see?” She answers, “Three,” because she sees the 4, 6, and 8 on Andy and Dan's head.\r<BR>\n" );
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document.write( "From this, Dan can conclude he has two even cards, since he can only see a 6 and Belle sees two (2) more.\r<BR>\n" );
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document.write( "Situation\r<BR>\n" );
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document.write( "You are playing Guess Your Card with three (3) other players. Here is what you see:\r<BR>\n" );
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document.write( "    Andy has the cards 1, 5, and 7<BR>\n" );
document.write( "    Belle has the cards 5, 4, and 7<BR>\n" );
document.write( "    Carol has the cards 2, 4, and 6\r<BR>\n" );
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document.write( "Andy draws the question card, “Do you see two (2) or more players whose cards sum to the same value?” He answers, “Yes.”\r<BR>\n" );
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document.write( "Next Belle draws the question card, “Of the five (5) odd numbers, how many different odd numbers do you see?” She answers, “All of them.”\r<BR>\n" );
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document.write( "Andy suddenly speaks up. \"I know what I have,\" he says. \"I have a 1, a 5, and a 7.\"\r<BR>\n" );
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document.write( "I need help understanding what it is that they are looking for? Am I looking for my numbers and which equation needs to be used.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #440164 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=440164\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Since Belle sees 1, 3, 5, 7, and 9 and you cannot see 3 and 9, you must have 3 and 9.  You also know that your total matches either Belle (16) or Carol (12).  Since you know that you have a 3 and a 9 and there are no cards with 0, it is not possible for you to have a total of 12, hence you must have a total of 16.  3 plus 9 is 12 plus 4 is 16, so your cards are 3, 4, and 9.  Too bad you didn't figure this out before Andy spoke up and won the game.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "<font face=\"Math1\" size=\"+2\">Egw to Beta kai to Sigma</font><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
document.write( "<div  DISABLED_style= \"text-align:center\"><a  rel=nofollow HREF=\"http://outcampaign.org/\" target=\"_blank\"><IMG STYLE=\"max-width:80%;\" src=\"http://cdn.cloudfiles.mosso.com/c116811/scarlet_A.png\" border=\"0\" alt=\"The Out Campaign: Scarlet Letter of Atheism\" width=\"143\" height=\"122\" /></a></div><BR>\n" );
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