document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1184449>Question 1184449</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me with this question, it would be highly appreciated: \r<BR>\n" );
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document.write( "3 tiles with the letter X on them and 3 tiles with the letter O on them are placed in a row. The order is chosen at random. What is the probability that no two adjacent tiles have the same letter on them?\r<BR>\n" );
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document.write( "Thank you taking time out of your day to help me! <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 #815040 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52787)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=815040\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "please help me with this question, it would be highly appreciated:<BR>\n" );
document.write( "3 tiles with the letter X on them and 3 tiles with the letter O on them are placed in a row. <BR>\n" );
document.write( "The order is chosen at random. What is the probability that no two adjacent tiles have the same letter on them?<BR>\n" );
document.write( "Thank you taking time out of your day to help me!<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "One such base configuration is  XOXOXO,\r\n" );
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document.write( "with 3! = 6 permutations of X's  and 3! = 6 permutations of O's; in all 6*6 = 36 possible permutations inside this configuration.\r\n" );
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document.write( "Similarly, there are 36 possible permutations inside the other base configuration  OXOXOX.\r\n" );
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document.write( "In all, there are 36 + 36 = 2*36 = 72 favorable permutations among 6! = 6*5^4*3*2*1 = 720 all possible permutations of 6 letters.\r\n" );
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document.write( "In terms of probability, it is  P = 72/720 = 0.1 to have a preferable configuration, randomly.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Solved and explained.\r<BR>\n" );
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