document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1040009>Question 1040009</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help: I believe the answers I put in are correct, but do not understand PART D?  Please provide step by step breakdown of how the answers were derived.\r<BR>\n" );
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document.write( "Thanks,\r<BR>\n" );
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document.write( "Bayes' theorem on conditional probabilities states that, if P(B) is not 0, then<BR>\n" );
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document.write( "Yesterday car lot Alpha had four Toyotas and one Chevrolet for sale. Car lot Beta had three Toyotas and five Chevrolets for sale. This morning Alan bought a car, choosing one of the two lots at random and then choosing a car at random from that lot.\r<BR>\n" );
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document.write( "What is the probability that Alan bought from Alpha? Leave your answer as a fraction in simplest form.\r<BR>\n" );
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document.write( " (Fill in the blanks below and give your answers as whole numbers.)\r<BR>\n" );
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document.write( "The probability that Alan bought from Alpha is 	1/2\r<BR>\n" );
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document.write( "If Alan bought from Alpha, what is the probability he bought a Toyota?  Leave your answer as a fraction in simplest form.\r<BR>\n" );
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document.write( " (Fill in the blanks below and give your answers as whole numbers.)\r<BR>\n" );
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document.write( "The probability that he bought a Toyota is 	4/5\r<BR>\n" );
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document.write( "If Alan bought from Beta, what is the probability he bought a Toyota?  Leave your answer as a fraction in simplest form.\r<BR>\n" );
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document.write( " (Fill in the blanks below and give your answers as whole numbers.)\r<BR>\n" );
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document.write( "The probability that he bought a Toyota is 3/8 	\r<BR>\n" );
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document.write( "It can be shown that the probability that Alan bought a Toyota is 25/48.  What is the probability Alan bought from Alpha given that he bought a Toyota? Leave your answer as a fraction in simplest form.\r<BR>\n" );
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document.write( " (Fill in the blanks below and give your answers as whole numbers.)\r<BR>\n" );
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document.write( "The probability is 	?????<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 #654779 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=654779\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I agree with a, b, c answers.<BR>\n" );
document.write( "I don't agree with the 25/48, using the tree diagram below.\r<BR>\n" );
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document.write( "A----------------B<BR>\n" );
document.write( "1/2---------------1/2<BR>\n" );
document.write( "T----C-----------T-------C<BR>\n" );
document.write( "4/5---1/5--------3/8-----5/8<BR>\n" );
document.write( "Probability of Toyota is 2/5+3/16=47/80\r<BR>\n" );
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document.write( "-------A-----------B--------T<BR>\n" );
document.write( "T-----4------------3--------7<BR>\n" );
document.write( "C-----1------------5--------6<BR>\n" );
document.write( "Tot----5------------8-------13<BR>\n" );
document.write( "From the table, if he bought a Toyota, there is a 4/7 chance it came from A.<BR>\n" );
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