document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1122175>Question 1122175</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Rec Centre has analysed its records for customer use of the squash courts and supercircuits classes. They found that the probability that a customer takes supercircuits classes is 0.20, the probability that a customer uses the squash courts given that they take supercircuit classes is 0.60, and the probability that if a customer uses the squash courts they also take supercircuits classes is 0.30.\r<BR>\n" );
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document.write( "The events of interest are defined as\r<BR>\n" );
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document.write( "SC for the event \"customer takes supercircuits classes\"<BR>\n" );
document.write( "SCc for the event \"customer does not take supercircuits classes\"<BR>\n" );
document.write( "SQ for the event \"customer uses the squash courts\"<BR>\n" );
document.write( "SQc for the event \"customer does not use the squash courts\"<BR>\n" );
document.write( "Match the words to the correct representation in probability symbols:\r<BR>\n" );
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document.write( "The probability that a customer uses the squash courts given that they take supercircuit classes is represented as\r<BR>\n" );
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document.write( "Answer 1<BR>\n" );
document.write( "The probability that if a customer uses the squash courts they also take supercircuits classes is represented as\r<BR>\n" );
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document.write( "Answer 2<BR>\n" );
document.write( "The probability that a customer takes supercircuits classes is represented as\r<BR>\n" );
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document.write( "Answer 3\r<BR>\n" );
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document.write( "Thank you so much<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 #738300 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=738300\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> These three items are given in the 2nd sentence:<BR>\n" );
document.write( "P(SC) = 0.20<BR>\n" );
document.write( "P(SQ | SC) = 0.60<BR>\n" );
document.write( "P(SC | SQ) = 0.30  <BR>\n" );
document.write( "I am interpreting \"if a customer uses the squash courts they also take supercircuit classes\" as \"given the customer uses the squash courts, they also take supercircuit classes\"  for if I interpret this as SC & SQ, the math does not work ( 0.30 does not equal (0.60)*(0.20) ). <br>\r<BR>\n" );
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document.write( "1. P(SQ | SC) = 0.60    <BR>\n" );
document.write( "2. P(SC & SQ) = P(SQ | SC) * P(SC)  =  0.60 * 0.20 = 0.12<BR>\n" );
document.write( "3. P(SC) = 0.20 <br>\r<BR>\n" );
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document.write( "That you posted this question with the answers so readily available tells me you very likely need to increase your effort here.\r<BR>\n" );
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