document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1119060>Question 1119060</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume you have applied to two different universities (let's refer to them as Universities A and B) for your graduate work.\r<BR>\n" );
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document.write( "In the past, 25% of students who applied to University A were accepted, while University B accepted 35% of the applicants.\r<BR>\n" );
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document.write( "Assume events are independent of each other.\r<BR>\n" );
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document.write( "Give all the answers as DECIMAL NUMBERS!\r<BR>\n" );
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document.write( "a.	What is the probability that you will be accepted in both universities?\r<BR>\n" );
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document.write( "b.	What is the probability that you will be accepted to at least one graduate program?\r<BR>\n" );
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document.write( "c.	What is the probability that one and only one of the universities will accept you?\r<BR>\n" );
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document.write( "d.	What is the probability that neither university will accept you?\r<BR>\n" );
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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 #734516 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=734516\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a. This would be 0.25*0.35=0.0875.<BR>\n" );
document.write( "b. At least one would be 1- probability of neither, the latter probability is 0.75*0.65=0.4875<BR>\n" );
document.write( "The answer is 1-0.4875=0.5125<BR>\n" );
document.write( "c. This would be the sum of (0.25*0.65) and (0.35*0.75)=0.1625+0.2625=0.4250<BR>\n" );
document.write( "d. This would be 0.65*0.75=0.4875 from above<BR>\n" );
document.write( "a+c+d=1, which covers the possibilities of 0,1,2. </SPAN>\n" );
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