document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=576198>Question 576198</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Each question on a multiple choice test has five equally likely answers. If Nikka guesses randomly on four questions, what is the probability that she will answer at least one correctly?<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 #369752 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=369752\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Each question on a multiple choice test has five equally likely answers. If Nikka guesses randomly on four questions, what is the probability that she will answer at least one correctly?<BR>\n" );
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document.write( "Binomial Problem with n = 4 and p(correct) = 1/5 and P(wrong) = 4/5<BR>\n" );
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document.write( "P(at least one correct) <BR>\n" );
document.write( "= 1 - P(none correct)<BR>\n" );
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document.write( "= 1 - P(all wrong)<BR>\n" );
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document.write( "= 1 - (4/5)^4<BR>\n" );
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document.write( "= 1 - 0.4096<BR>\n" );
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document.write( "= 0.5904<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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