document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=607305>Question 607305</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You're are taking a multiple choice test that has five questions.  Each of the questions has 3 answer choices, with 1 correct answer per question. If you guess for each one and leave nothing blank, in how many ways can you answer the questions?  (and..) What is the probability that all of your answers will be INcorrect? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #382586 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=382586\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You're are taking a multiple choice test that has five questions. Each of the questions has 3 answer choices, with 1 correct answer per question. If you guess for each one and leave nothing blank, \r<BR>\n" );
document.write( "\n" );
document.write( "a) in how many ways can you answer the questions?<BR>\n" );
document.write( "Ans: 3^5 = 243 ways<BR>\n" );
document.write( "---------------------------- \r<BR>\n" );
document.write( "\n" );
document.write( "b) What is the probability that all of your answers will be INcorrect?<BR>\n" );
document.write( "P(incorrect) = 2/3<BR>\n" );
document.write( "---<BR>\n" );
document.write( "P(all 5 are incorrect) = (2/3)^5 = 32/243<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );