document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1172335>Question 1172335</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A final year student after being interviewed at two companies, he assesses that his probability of getting an offer from company A is 0.8 and the probability that he gets offer from company B is 0.6. If, on the other hand he believes that the probability that he will get offers from both companies is 0.5. Obtain the probability that he will get <BR>\n" );
document.write( "(i). at least one offer from these two companies<BR>\n" );
document.write( "(ii). offer from neither company<BR>\n" );
document.write( "(iii). offer from company A only  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #797338 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52786)</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=797338\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "A final year student after being interviewed at two companies, he assesses that his probability of getting an offer <BR>\n" );
document.write( "from company A is 0.8 and the probability that he gets offer from company B is 0.6. If, on the other hand he believes <BR>\n" );
document.write( "that the probability that he will get offers from both companies is 0.5. Obtain the probability that he will get \r<BR>\n" );
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document.write( "(i)    at least one offer from these two companies\r\n" );
document.write( "(ii)   offer from neither company\r\n" );
document.write( "(iii)  offer from company A only \r\n" );
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document.write( "<U>Solution</U>\r<BR>\n" );
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document.write( "(i)   P = P(A) + P(B) - P(A and B) = 0.8 + 0.6 - 0.5 = 0.9.\r\n" );
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document.write( "(ii)  In this case, the probability is the COMPLEMENT to the probability which is just found  in (i)\r\n" );
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document.write( "       P' = 1 - P = 1 - 0.9 = 0.1.\r\n" );
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document.write( "(iii)  P = P(A) - P(A and B) = 0.8 - 0.5 = 0.3.\r\n" );
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document.write( "Solved.  &nbsp;&nbsp;&nbsp;&nbsp;//  &nbsp;&nbsp;&nbsp;&nbsp;All questions are answered.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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