document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1210213>Question 1210213</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The following cards are split into four piles at random, so that every pile contains the same number of cards. What is the probability that every pile contains an Ace?\r<BR>\n" );
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document.write( "The cards are:\r<BR>\n" );
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document.write( "Ace of clubs\r<BR>\n" );
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document.write( "Ace of diamonds\r<BR>\n" );
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document.write( "Ace of spades\r<BR>\n" );
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document.write( "Ace of hearts\r<BR>\n" );
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document.write( "King of clubs\r<BR>\n" );
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document.write( "King of diamonds\r<BR>\n" );
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document.write( "King of spades\r<BR>\n" );
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document.write( "King of hearts<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 #851650 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13215)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=851650\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The AI solution from the other \"tutor\" involves finding the number of ways of splitting the 8 cards into 4 piles of 2 card each.<br><BR>\n" );
document.write( "The way I read the problem, the 8 cards have already been split into 4 piles of 2 cards each; the question is the probability that each of those piles of 2 cards contains an ace.<br><BR>\n" );
document.write( "So the problem is only asking the probability that the 4 aces get in separate piles.<br><BR>\n" );
document.write( "The first ace can be in any of the 4 piles -- probability 4/4<BR>\n" );
document.write( "The second ace can be in any of the 3 remaining piles -- probability 3/4<BR>\n" );
document.write( "The third ace can be in any of the 2 remaining piles -- probability 2/4<BR>\n" );
document.write( "The fourth ace can be in any of the 1 remaining piles -- probability 1/4<br><BR>\n" );
document.write( "The probability that the 4 aces are in different piles is<br><BR>\n" );
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document.write( "It doesn't matter which king gets with which ace, so that is the final answer to the problem.<br><BR>\n" );
document.write( "ANSWER: 3/32<br>\r<BR>\n" );
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