document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1035210>Question 1035210</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Van guessed on all 8 questions of a multiple-choice quiz. Each question has 4 answer choices. What is the probability that he got exactly 1 question correct? Round the answer to the nearest thousandth.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #649856 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=649856\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We use the binomial probability formula to solve this problem<BR>\n" );
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document.write( "p=1/4, q=3/4 and n=8<BR>\n" );
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document.write( "Pr(guessing 1 question correctly) = 8C1 * (1/4)^1 * (3/4)^(8-1) = 0.266967 approx 0.267<BR>\n" );
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document.write( "Note that 8C1 = 8! / 1! * (8-1)! = 8<BR>\n" );
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document.write( "Probability of guessing 1 question correctly is 0.267<BR>\n" );
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