document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=916451>Question 916451</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A teacher was asked by her principal to select 7 <BR>\n" );
document.write( "students at random from her class to help out on an outing to a <BR>\n" );
document.write( "senior's home. In her class, she has 5 girls and 9 boys.  The <BR>\n" );
document.write( "principal believes that this teacher always favors the girls when it <BR>\n" );
document.write( "comes to outings such as this.  When the teacher handed in her list <BR>\n" );
document.write( "of student names, the principal noted that the number of girls on the <BR>\n" );
document.write( "list was 5 and the number of boys was 2.  Is there any statistical <BR>\n" );
document.write( "evidence that the teacher favors girls?\r<BR>\n" );
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document.write( "Compute the probability that, of the students selected, 1 is a girl. <BR>\n" );
document.write( "Round off to 4 decimal places. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #556098 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=556098\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 14 students: 5G, 9B<BR>\n" );
document.write( "7 selected)<BR>\n" );
document.write( "P(5G and 2B) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285C5%29%289C2%29%2F%2814C5%29 ALIGN=MIDDLE  ALT=\"%285C5%29%289C2%29%2F%2814C5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 36/2002 = 18/1001<BR>\n" );
document.write( "choosing all the girls and 2 boys...randomly..this would happen 18 out of 1001 selections <BR>\n" );
document.write( "...<BR>\n" );
document.write( "P (1G) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285C1%29%289C6%29%2F%2814C5%29+=+5%2A84%2F2002+ ALIGN=MIDDLE  ALT=\"%285C1%29%289C6%29%2F%2814C5%29+=+5%2A84%2F2002+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 210/1001 </SPAN>\n" );
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