document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=248871>Question 248871</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A construction company has submitted bids on 2 contracts A and B. The company feels that it has a 60% chance of winning contract B. Furthermore, the company believes that it has a 70% chance of winning contract A given that it wons contract B, and it has a 40% chance of not winning contract A given that it does not win contact B\r<BR>\n" );
document.write( "\n" );
document.write( "Given that the company wins contract A, the probability that it will also win contract B is... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #181366 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=181366\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A construction company has submitted bids on 2 contracts A and B. =====<BR>\n" );
document.write( "The company feels that it has a 60% chance of winning contract B.<BR>\n" );
document.write( "P(B) = 0.6<BR>\n" );
document.write( "--- <BR>\n" );
document.write( "Furthermore, the company believes that it has a 70% chance of winning contract A given that it wons contract B,<BR>\n" );
document.write( "P(A|B) = 0.7<BR>\n" );
document.write( "----- <BR>\n" );
document.write( "and it has a 40% chance of not winning contract A given that it does not win contact B<BR>\n" );
document.write( "P(A'|B')= 0.4<BR>\n" );
document.write( "-------- <BR>\n" );
document.write( "Given that the company wins contract A, the probability that it will also win contract B is...<BR>\n" );
document.write( "P(B|A) = P(A and B)/P(A) = [P(A|B)*P(B)]/[P(A|B)+P(A|B')]<BR>\n" );
document.write( "= [0.7*0.6]/[0.7+0.6]  = 0.42/1.3 = 0.3231<BR>\n" );
document.write( "=================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );