document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=510774>Question 510774</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I saw this problem:<BR>\n" );
document.write( "At Joe's Restaurant, one-fourth of the patrons are male and one-fifth of the patrons are from out of town. What proportion would you expect to be male and out of town? <BR>\n" );
document.write( "Someone answered it this problem like this:<BR>\n" );
document.write( "For this kind of problem, you mulitply the two fractions.  So 1/4 x 1/5 = 1/20.  We would expect 1/20 of the patrons to be both male and from out of town.\r<BR>\n" );
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document.write( "Here is a way to visualize this.\r<BR>\n" );
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document.write( "    In Town Out of Town Total<BR>\n" );
document.write( "Male       4         1                     5<BR>\n" );
document.write( "Female     12        3                   15<BR>\n" );
document.write( "Total      16        4                   20\r<BR>\n" );
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document.write( "Imagine that there are 20 people in the restaurant.  Five are male (so 5/20 = 1/4) and 4 are from out of town (so 4/20 = 1/5).  One way to show this is with the chart above.  Only 1 person (1/20) is both male and from out of town.\r<BR>\n" );
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document.write( "My question is:<BR>\n" );
document.write( "What is the reasoning behind the sentences below????  I don't understand that.  <BR>\n" );
document.write( "For this kind of problem, you mulitply the two fractions.  So 1/4 x 1/5 = 1/20.  We would expect 1/20 of the patrons to be both male and from out of town.<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 #341888 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=341888\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the key here may be \"expect\"\r<BR>\n" );
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document.write( "you know that 1/4 are male and 1/5 are from out of town\r<BR>\n" );
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document.write( "you would expect that the male patrons would have the same portion of out-of-towners as the female patrons\r<BR>\n" );
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document.write( "similarly, you would expect that the out-of-towners would have the same portion of males as the local patrons\r<BR>\n" );
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document.write( "either way you look at it, 1/5 of the males or 1/4 of the out-of-towners will give you the same \"expected\" result </SPAN>\n" );
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