document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1049033>Question 1049033</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An aerospace company has submitted bids on two separate federal government defense contracts, A and B. The company estimates that it has a 60% chance of winning contract A and a 30% chance of winning contract B. If P(B|A)=0.4.\r<BR>\n" );
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document.write( "a.What is the probability that the company will win at least one contract?<BR>\n" );
document.write( "b.What is the probability that the company will win exactly one contract?<BR>\n" );
document.write( "c.What is the probability that the company will win no contract?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #666331 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=666331\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a. P(A) + P(B)  - P(A and B) = P(A) + P(B) - P(B|A)*P(A) = 0.6 + 0.3 - 0.4*0.6 = 0.66.\r<BR>\n" );
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document.write( "b. 0.66 - 0.24 = 0.42\r<BR>\n" );
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document.write( "c. 1 - P(A or B) = 1 - 0.66 = 0.34.  </SPAN>\n" );
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