document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=59617>Question 59617</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321331834/algebrahomeworkh>elementary statistics</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Multiple-choice questions each have five possible answers(a,b,c,d,e),one of which is correct.  Assume that you guess the answers to 3 such problem:<BR>\n" );
document.write( "a.  Use the multiplication rule to find the probability that the first 2 guesses are wrong and the 3rd is correct.<BR>\n" );
document.write( "b. Beginning with 2wrong and 1 correct,(WWC), make a complete list of all possibilities of 2 wrong and 1 correct, then find the probability for each.<BR>\n" );
document.write( "c. Based on the preceding results, what is the probability of getting exactly one correct answer when 3 guesses are made? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #40921 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=40921\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Multiple-choice questions each have five possible answers(a,b,c,d,e),one of which is correct.  Assume that you guess the answers to 3 such problem:<BR>\n" );
document.write( "a.  Use the multiplication rule to find the probability that the first 2 guesses are wrong and the 3rd is correct.<BR>\n" );
document.write( "P(WWC)=(4/5)^2(1/5)= 0.128\r<BR>\n" );
document.write( "\n" );
document.write( "b. Beginning with 2wrong and 1 correct,(WWC), make a complete list of all possibilities of 2 wrong and 1 correct, then find the probability for each.<BR>\n" );
document.write( "P(WWC)=0.128, P(WCW)=0.128, P(CWW)=0.128\r<BR>\n" );
document.write( "\n" );
document.write( "c. Based on the preceding results, what is the probability of getting exactly one correct answer when 3 guesses are made?<BR>\n" );
document.write( "P(2 Wrong and 1 Correct) = 3(0.128)=0.384<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );