document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1028846>Question 1028846</A>: <I><SPAN STYLE=\"word-break: break-all;\">  A certain furniture store found that 20% of the people who enter buy something. Three potential customers walk in. Y means a sale, and N means no sale.\r<BR>\n" );
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document.write( "1. The most likely outcome is?<BR>\n" );
document.write( " A) YYY  B)NNN  C)YNY  D) NNY   E) YNN<BR>\n" );
document.write( "I was thinking it might either be NNN or NNY because the percent is so low. Am I right?\r<BR>\n" );
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document.write( "2. The probability of NNY is?<BR>\n" );
document.write( "  A) .128  B) .6  C) .2  D) .5<BR>\n" );
document.write( "How would you solve this?\r<BR>\n" );
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document.write( "Thanks in advance! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #643940 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=643940\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "The probability of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large k\"> successes in <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large n\"> trials where <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large p\"> is the probability of success on any given trial is given by:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ P_n(k,p)\ =\ {{n}\choose{k}}\left(p\right)^k\left(1\,-\,p\right)^{n\,-\,k}\">\r<BR>\n" );
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document.write( "Where <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE {{n}\choose{k}}\"> is the number of combinations of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large n\"> things taken <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large k\"> at a time and is calculated by <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{n!}{k!(n\,-\,k)!}\">\r<BR>\n" );
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document.write( "So the probability of 3 Yes results would be:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ P_3(3,0.2)\ =\ {{3}\choose{3}}\left(0.2\right)^3\left(0.8\right)^{0}\ =\ 1\ *\ 0.008\ *\ 1\ =\ 0.008\">\r<BR>\n" );
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document.write( "The probability of 2 Yes results (which could be YYN, YNY, or NYY), would be:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ P_3(2,0.2)\ =\ {{3}\choose{2}}\left(0.2\right)^2\left(0.8\right)^{1}\ =\ 3\ *\ 0.04\ *\ 0.8\ =\ 0.096\">\r<BR>\n" );
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document.write( "Each of YYN, YNY, or NYY would be 1/3 of the above result.\r<BR>\n" );
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document.write( "The probability of 1 Yes result (YNN, NYN, or NNY) would be:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ P_3(1,0.2)\ =\ {{3}\choose{1}}\left(0.2\right)^1\left(0.8\right)^{2}\ =\ 3\ *\ 0.2\ *\ 0.64\ =\ 0.384\">\r<BR>\n" );
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document.write( "Each of YNN, NYN, and NNY would be 1/3 of the above, so P(NNY) = 0.128\r<BR>\n" );
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document.write( "The probability of Zero Yes results, NNN, would be:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ P_3(0,0.2)\ =\ {{3}\choose{0}}\left(0.2\right)^0\left(0.8\right)^{3}\ =\ 1\ *\ 1\ *\ 0.8\ =\ 0.512\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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