document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1022485>Question 1022485</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A box contains 3 blue and 2 red marbles while another box contains 2 blue and 5 red marbles. A marble drawn at random from one of the boxes turns out to be blue. What is the probability that it came from the first box? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #638143 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=638143\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Apply Bayes' Theorem directly:\r<BR>\n" );
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document.write( "P(1st box|blue) = P(1st box AND blue)/P(blue) = P(blue|1st box)*P(1st box)/P(blue) =  P(blue|1st box)*P(1st box)/[P(blue|1st box)*P(1st box) +  P(blue|2nd box)*P(2nd box)] = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283%2F5%29%2A%281%2F2%29%29%2F%28%283%2F5%29%2A%281%2F2%29%2B%282%2F5%29%2A%281%2F2%29%29+=+3%2F5 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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