document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=792437>Question 792437</A>: <I><SPAN STYLE=\"word-break: break-all;\"> *Below is the question I am trying to answer:<BR>\n" );
document.write( "A multiple-choice test has five questions, each with five choices for the answer. Only one of the choices is correct. You randomly guess the answer to each question. What is the probability that you answer the first two questions correctly? \r<BR>\n" );
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document.write( "*Below are the steps given:<BR>\n" );
document.write( "Ans: (1/5)^2 *(4/5)^3 = 0.0205\r<BR>\n" );
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document.write( "*This is where I am confused. I am having trouble with setting this problem up, I would like to know the reasoning behind this setup for similar problems can you step me through the steps of how I should approach this problem? Please don't skip anything, I need to see \"B\" to get to \"C\". \r<BR>\n" );
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document.write( "Thank your help. This site really helps.<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 #480010 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=480010\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The probability that you answer each question correctly is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F5%29 ALIGN=MIDDLE  ALT=\"%281%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The probability that you answer each question wrong is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F5%29 ALIGN=MIDDLE  ALT=\"%284%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The probability that you answer each question correctly (or wrong) is independent of how the other questions were answered,  so the probabilities are multiplied.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F5%29%5E2+%2A%284%2F5%29%5E3+=+0.02048 ALIGN=MIDDLE  ALT=\"%281%2F5%29%5E2+%2A%284%2F5%29%5E3+=+0.02048\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the probability of answering just the first two questions correctly, and the other three questions wrong.<BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F5 ALIGN=MIDDLE  ALT=\"1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the times you would have answered the first question correctly.<BR>\n" );
document.write( "Out of those times, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F5 ALIGN=MIDDLE  ALT=\"1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > of them you would have answered the second question correctly.<BR>\n" );
document.write( "That means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F5%29%5E2=0.04 ALIGN=MIDDLE  ALT=\"%281%2F5%29%5E2=0.04\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the times the first two questions would have been answered correctly. That is the probability of answering the first two questions correctly, not caring what happens with the third, fourth, and fifth questions.<BR>\n" );
document.write( "The way the problem is worded, I would have thought that was the expected answer to the problem.<BR>\n" );
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document.write( "Out of the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F5%29%5E2=0.04 ALIGN=MIDDLE  ALT=\"%281%2F5%29%5E2=0.04\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the times the first two questions would be answered correctly, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F5 ALIGN=MIDDLE  ALT=\"4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > of those times you would get the third question wrong.<BR>\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F5%29%5E2+%2A%284%2F5%29 ALIGN=MIDDLE  ALT=\"%281%2F5%29%5E2+%2A%284%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the times you would answer the first two questions correctly, and the third question wrong.<BR>\n" );
document.write( "Out of those times, in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F5 ALIGN=MIDDLE  ALT=\"4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the cases, you would get the fourth question wrong.<BR>\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F5%29%5E2+%2A%284%2F5%29%2A%284%2F5%29=%281%2F5%29%5E2+%2A%284%2F5%29%5E2 ALIGN=MIDDLE  ALT=\"%281%2F5%29%5E2+%2A%284%2F5%29%2A%284%2F5%29=%281%2F5%29%5E2+%2A%284%2F5%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the times you would answer the first two questions correctly, and the third and fourth questions wrong.<BR>\n" );
document.write( "Out of those times, in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F5 ALIGN=MIDDLE  ALT=\"4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the cases, you would get the fifth question wrong.<BR>\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F5%29%5E2+%2A%284%2F5%29%5E3 ALIGN=MIDDLE  ALT=\"%281%2F5%29%5E2+%2A%284%2F5%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the times you would answer the first two questions correctly, and the third, fourth and fifth questions wrong. </SPAN>\n" );
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