document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1110085>Question 1110085</A>: <I><SPAN STYLE=\"word-break: break-all;\"> given the following<BR>\n" );
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document.write( "* let P(C)= .4<BR>\n" );
document.write( "* let P(D)= .5<BR>\n" );
document.write( "* let P ( C given D)= .6<BR>\n" );
document.write( "what is P( D Given D)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #725087 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</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=725087\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Surely the question you ask is not the one you meant to ask; P(D given D) is 1.<br><BR>\n" );
document.write( "The logical probability to ask for is P(D given C); I will assume that is what you wanted.<br><BR>\n" );
document.write( "P(C|D) = (P(C and D)) / (P(D))<BR>\n" );
document.write( "0.6 = P(C and D) / 0.5<BR>\n" );
document.write( "P(C and D) = 0.3<br><BR>\n" );
document.write( "Then<br><BR>\n" );
document.write( "P(D|C) = (P(C and D)) / (P(C))<BR>\n" );
document.write( "P(D|C) = 0.3 / 0.4<BR>\n" );
document.write( "P(D|C) = 0.75<br><BR>\n" );
document.write( "ANSWER: P(D given C) = 0.75 </SPAN>\n" );
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