document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1002984>Question 1002984</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a history class, Colin and Diana both write a multiple choice quiz. There are 10 questions. Each question has 5 possible answers. What is the probability that Diana will pass the test if she studies so that she has 75% chance of answering each question correctly. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #619844 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=619844\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I don't know what passing is.  I will assume 70%.<BR>\n" );
document.write( "The 5 possible answers appears not to be relevant, since she has a 75% chance of answering each question correctly.<BR>\n" );
document.write( "She has to get 7 or more correct.  <BR>\n" );
document.write( "10C7(0.75)^7(0.25)^3=0.2503<BR>\n" );
document.write( "10C8(0.75)^8(0.25)^2=0.2816<BR>\n" );
document.write( "10C9(0.75)^9(0.25)=0.1877<BR>\n" );
document.write( "0.75^10=0.0563<BR>\n" );
document.write( "P=0.7759 </SPAN>\n" );
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