document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1033923>Question 1033923</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You guess on all of the answers on a 10 question quiz. If there are 4 possible answers for each question, what is the probability that you get 3 questions right? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #648534 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=648534\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We use the binomial probability formula for this problem<BR>\n" );
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document.write( "Probability(P) = 1/4 for guessing a question correctly<BR>\n" );
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document.write( "P(guessing 3 problems correctly) = 10C3 * (1/4)^3 * (3/4)^7<BR>\n" );
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document.write( "Note 10C3 = 10! / (3! * 7!) = 10*9*8 / (3 * 2) = 120<BR>\n" );
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document.write( "P(guessing 3 problems correctly) = 120 * (1/64) * (2187/16384) = .1%<BR>\n" );
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