document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1183552>Question 1183552</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me on this question.  Thanks!<BR>\n" );
document.write( "Two urns contain white and black balls. Urn 1 contains 3 white balls and 4 black balls. Urn 2 contains 5 white and 3 black balls. It is three times as likely to draw a ball from Urn 1 as it is from Urn 2. Blindfolded, you draw a ball randomly from one of the two urns. The ball drawn is then put inside a third urn which contains 2 white and 3 black balls.<BR>\n" );
document.write( "a) What is the probability of drawing a black ball from the third urn?<BR>\n" );
document.write( "b) What is the probability that a black ball drawn from the third urn came from Urn 2? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #813951 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=813951\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Again this problem should be EASY application of the law of total probability and Bayes' theorem.\r<BR>\n" );
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document.write( "The solution to this problem is very similar to the one I gave earlier.  The only difference being, in the first problem, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28U1%29=+1%2F2 ALIGN=MIDDLE  ALT=\"P%28U1%29=+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28U2%29+=+1%2F2 ALIGN=MIDDLE  ALT=\"P%28U2%29+=+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <BR>\n" );
document.write( "but for this problem, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28U1%29+=+3%2F4 ALIGN=MIDDLE  ALT=\"P%28U1%29+=+3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28U2%29+=+1%2F4 ALIGN=MIDDLE  ALT=\"P%28U2%29+=+1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Fill in the corresponding probabilities for the formula I included in the first problem. </SPAN>\n" );
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