document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=860994>Question 860994</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Thank you in advance for your help.  I'm not understanding how to set up these problems or how to solve them.\r<BR>\n" );
document.write( "\n" );
document.write( "An aerospace company has submitted bids on two separate federal government defense contracts. The company president believes that there is a 44% probability of winning the first contract. If they win the first contract, the probability of winning the second is 67%. However, if they lose the first contract, the president thinks that the probability of winning the second contract decreases to 54%.\r<BR>\n" );
document.write( "\n" );
document.write( "A. What is the probability that they win both contracts?\r<BR>\n" );
document.write( "\n" );
document.write( "Probability = \r<BR>\n" );
document.write( "\n" );
document.write( "I've tried squaring the percentages of .44*.67 together.  I've tried adding .44 and .67, then squaring it.  I've tried squaring .67 by itself.\r<BR>\n" );
document.write( "\n" );
document.write( "B. What is the probability that they lose both contracts?\r<BR>\n" );
document.write( "\n" );
document.write( "Probability = \r<BR>\n" );
document.write( "\n" );
document.write( "I've tried taking the differences of winning the contracts and (like the above problem) different combinations of combining and/or squaring.\r<BR>\n" );
document.write( "\n" );
document.write( "C. What is the probability that they win only one contract?\r<BR>\n" );
document.write( "\n" );
document.write( "Probability =  \r<BR>\n" );
document.write( "\n" );
document.write( "I know that if the company loses the first contract, they can still get the second contract, which I think is key.  I just don't know how to set it up.\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks again.  Anything to help would be appreciated. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #518782 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=518782\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> P(win both contract) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.44%2A.67%29+ ALIGN=MIDDLE  ALT=\".44%2A.67%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "P(lose both) = 1 - P(win both)<BR>\n" );
document.write( "P(win one 0r the other) = .44 + .54 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );