document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1058275>Question 1058275</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Urn 1 contains 1 red and 9 white balls. Urn 2 contains 8 red and 1 white balls. A ball is drawn from urn 1 and placed in urn 2. Then a ball is drawn from urn 2. If the ball from urn is red, what is the probability that the ball drawn from urn 1 is red?\r<BR>\n" );
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document.write( "I was able to complete the diagram reflecting the numbers in decimal as shown form the textbook.<BR>\n" );
document.write( "However, I don't understand the last 2 parts. The numeric value of the probability of the product from branch probabilities leading from R through R? Do you multiply the top two sections leading form R to R? Which in this case would be 0.3*05?\r<BR>\n" );
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document.write( "Also, on the last part to obtain the 2nd number to divide by. The sum of all branch points leading to R? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #673509 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=673509\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> So look at it from the possible choices,<BR>\n" );
document.write( "W1,W2- White ball chosen from Urn 1, White ball chosen from Urn 2<BR>\n" );
document.write( "W1,R2<BR>\n" );
document.write( "R1,W2<BR>\n" );
document.write( "R1,R2<BR>\n" );
document.write( "Look at the corresponding probabilities,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28W%5B1%5D%2CW%5B2%5D%29=%289%2F10%29%282%2F10%29=18%2F100 ALIGN=MIDDLE  ALT=\"P%28W%5B1%5D%2CW%5B2%5D%29=%289%2F10%29%282%2F10%29=18%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28W%5B1%5D%2CR%5B2%5D%29=%289%2F10%29%288%2F10%29=72%2F100 ALIGN=MIDDLE  ALT=\"P%28W%5B1%5D%2CR%5B2%5D%29=%289%2F10%29%288%2F10%29=72%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28R%5B1%5D%2CW%5B2%5D%29=%281%2F10%29%281%2F10%29=1%2F100 ALIGN=MIDDLE  ALT=\"P%28R%5B1%5D%2CW%5B2%5D%29=%281%2F10%29%281%2F10%29=1%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28R%5B1%5D%2CR%5B2%5D%29=%281%2F10%29%288%2F10%29=9%2F100 ALIGN=MIDDLE  ALT=\"P%28R%5B1%5D%2CR%5B2%5D%29=%281%2F10%29%288%2F10%29=9%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So there are two possibilities when the urn 2 ball is red, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=72%2F100 ALIGN=MIDDLE  ALT=\"72%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" > times it occurs because the urn 1 ball was white and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F100 ALIGN=MIDDLE  ALT=\"9%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" > times it occurs because the urn 2 ball was red. That makes a total of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=81%2F100 ALIGN=MIDDLE  ALT=\"81%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" > times. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2872%2F100%29%2F%2881%2F100%29=72%2F81=8%2F9 ALIGN=MIDDLE  ALT=\"%2872%2F100%29%2F%2881%2F100%29=72%2F81=8%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > occur because of urn 1 ball is white, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289%2F100%29%2F%2881%2F100%29=9%2F81=1%2F9 ALIGN=MIDDLE  ALT=\"%289%2F100%29%2F%2881%2F100%29=9%2F81=1%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > because the urn 1 ball is red.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=1%2F9 ALIGN=MIDDLE  ALT=\"P=1%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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