document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1197262>Question 1197262</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3.	An aerospace company has submitted bids on two separate government defense contracts, A and B. The company feel it has a 50% chance of winning contract A and a 40% chance of winning contract B. Furthermore, it believes that winning contract A is independent of winning contract B.\r<BR>\n" );
document.write( "\n" );
document.write( "a.	What is the probability that the company will win both contracts?\r<BR>\n" );
document.write( "\n" );
document.write( "b.	What is the probability that the company will win either of these contracts?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #830463 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=830463\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "An aerospace company has submitted bids on two separate government defense contracts, A and B. <BR>\n" );
document.write( "The company feel it has a 50% chance of winning contract A and a 40% chance of winning contract B. <BR>\n" );
document.write( "Furthermore, it believes that winning contract A is independent of winning contract B.<BR>\n" );
document.write( "a. What is the probability that the company will win both contracts?<BR>\n" );
document.write( "b. What is the probability that the company will win either of these contracts?<BR>\n" );
document.write( "~~~~~~~~~~~~~~~\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "(1)  P(winning both contracts) = P(A)*P(B) = 0.5*0.4 = 0.2.    <U>ANSWER to (a)</U>\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(2)  P(winning at least one contract) = P(A) + P(B) - P(winning both) = 0.5 + 0.4 - 0.2 = 0.7.    <U>ANSWER to (b)</U>\r\n" );
document.write( "</PRE>\r<BR>\n" );
document.write( "\n" );
document.write( "Solved.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );