document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=308188>Question 308188</A>: <I><SPAN STYLE=\"word-break: break-all;\"> in a ten question multiple-choice test with 4 choices for each question, a student who is not prepared guesses on each item. find the probability that they get 6 correct </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #220383 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=220383\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let c=correct answers and w=wrong answers<BR>\n" );
document.write( "c=.25 and w=.75 for each question.<BR>\n" );
document.write( "Expand: (c+w)^10<BR>\n" );
document.write( "For 6 correct the coefficient is nCr=10C6=210<BR>\n" );
document.write( "210c^6w^4<BR>\n" );
document.write( "=210*.25^6*.75^4<BR>\n" );
document.write( "=.0162 Probability of exactly 6 correct guesses on a 10 question multiple choice test.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );