document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=367570>Question 367570</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On average, Loren can answer 2/3 of the questions in an exam paper on mathematics. \r<BR>\n" );
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document.write( "If the exam paper contains five questions and a minimum of three correct answers in required to pass, find the probability that Loren will pass the exam. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #262086 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=262086\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the probability that Loren will get an answer correct is 2/3.\r<BR>\n" );
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document.write( "the number of questions is 5.\r<BR>\n" );
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document.write( "the probability that she will get exactly 3 questions correct is (2/3)^3 * (1/3)^2\r<BR>\n" );
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document.write( "the probability that she will get exactly 4 questions correct is (2/3)^4 * (1/3)^1\r<BR>\n" );
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document.write( "the probability that she will get exactly 5 questions correct is (2/3)^5 * (1/3)^0\r<BR>\n" );
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document.write( "the number of ways that she can get 3 out of 5 questions correct is 5! / (2! * 3!) = 10\r<BR>\n" );
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document.write( "the number of ways that she can get 4 out of 5 questions correct is 5! / 4! * 1!) = 5\r<BR>\n" );
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document.write( "the number of ways that she can get 5 out of 5 questions correct = 1.\r<BR>\n" );
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document.write( "her total probability of getting at least 3 out of 5 questions correct is equal to:\r<BR>\n" );
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document.write( "[10 * (2/3)^3 * (1/3)^2] + [5 * (2/3)^4 * (1/3)^1] + [1 * (2/3)^5]\r<BR>\n" );
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document.write( "This is equivalent to:\r<BR>\n" );
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document.write( ".329218107 + .329218107 + .131687243 which is equal to .790123457\r<BR>\n" );
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document.write( " </SPAN>\n" );
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