document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=339766>Question 339766</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose there are 500 applicants for five equivalent positions at a factory. Company is able to narrow the field to 30 equally qualified applicants. 7 of the finalists are minority candidates.Assume that 5 who are chosen are selected randomly from final group of 30.<BR>\n" );
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document.write( "1. what is the probability that none of the minority is hired?<BR>\n" );
document.write( "2. what is the probability that no more than 1 minority candidate is hired?\r<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 #243428 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=243428\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Combination of n things taken r at a time: nCr=n!/((n-r)!r!)<BR>\n" );
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document.write( "23C5/30C5=33649/142506=.2361 the probability that none of the minority is hired.<BR>\n" );
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document.write( "((23C4*7C1)+23C5)/30C5=95634/142506=.6711 the probability that no more than 1 minority candidate is hired.<BR>\n" );
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document.write( "Ed </SPAN>\n" );
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