document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1096149>Question 1096149</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help... I am confused.<BR>\n" );
document.write( "A and B are trying to solve a problem. A has a chance of 65%, B has a chance of 75% solving the problem. What is the probability of A solves the problem given that someone solved the problem. <BR>\n" );
document.write( "Thank you.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #710657 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13334)</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=710657\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The probability that A solves the problem is 0.65, so the probability that A does NOT solve the problem is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-0.65+=+0.35 ALIGN=MIDDLE  ALT=\"1-0.65+=+0.35\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "The probability that B solves the problem is 0.75, so the probability that B does NOT solve the problem is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-0.75+=+0.25 ALIGN=MIDDLE  ALT=\"1-0.75+=+0.25\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "Then the probability that NEITHER A NOR B solves the problem is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.35%2A0.25+=+.0875 ALIGN=MIDDLE  ALT=\"0.35%2A0.25+=+.0875\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "And so the probability that someone solves the problem is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-.0875+=+0.9125 ALIGN=MIDDLE  ALT=\"1-.0875+=+0.9125\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "And finally the probability that A solves the problem, GIVEN THAT someone solves the problem, is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.65%2F0.9125+=+0.71233 ALIGN=MIDDLE  ALT=\"0.65%2F0.9125+=+0.71233\"   DISABLED_style= \"max-width:90%; height:auto;\" > (to 5 decimal places).<br><BR>\n" );
document.write( "If you want an exact answer, use fractions instead of decimals:<br><BR>\n" );
document.write( "The probability that A solves the problem is 13/20, so the probability that A does NOT solve the problem is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-13%2F20+=+7%2F20 ALIGN=MIDDLE  ALT=\"1-13%2F20+=+7%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "The probability that B solves the problem is 3/4, so the probability that B does NOT solve the problem is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-3%2F4+=+1%2F4 ALIGN=MIDDLE  ALT=\"1-3%2F4+=+1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "Then the probability that NEITHER A NOR B solves the problem is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2F20%29%2A%281%2F4%29+=+7%2F80 ALIGN=MIDDLE  ALT=\"%287%2F20%29%2A%281%2F4%29+=+7%2F80\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "And so the probability that someone solves the problem is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-7%2F80+=+73%2F80 ALIGN=MIDDLE  ALT=\"1-7%2F80+=+73%2F80\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "And finally the probability that A solves the problem, GIVEN THAT someone solves the problem, is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2813%2F20%29%2F%2873%2F80%29+=+%2852%2F80%29%2F%2873%2F80%29+=+52%2F73 ALIGN=MIDDLE  ALT=\"%2813%2F20%29%2F%2873%2F80%29+=+%2852%2F80%29%2F%2873%2F80%29+=+52%2F73\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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