document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=805827>Question 805827</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the president of large company selects six employees to receive a special bonus. he claims that the six employees are chosen randomly from among the 30 employees, of whom 19 are women and 11 are men. what id the probability that no women is chosen </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #485577 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=485577\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the names are taken out one by one out of a hat containing all 30 names,<BR>\n" );
document.write( "and are written in order on a list, there are<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2A29%2A28%2A27%2A26%2A25 ALIGN=MIDDLE  ALT=\"30%2A29%2A28%2A27%2A26%2A25\"   DISABLED_style= \"max-width:90%; height:auto;\" > possible lists.<BR>\n" );
document.write( "With just the names of the 11 men, we can make only<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2A10%2A9%2A8%2A7%2A6 ALIGN=MIDDLE  ALT=\"11%2A10%2A9%2A8%2A7%2A6\"   DISABLED_style= \"max-width:90%; height:auto;\" > of those lists.<BR>\n" );
document.write( "As a fraction of all the possible lists, that is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2A10%2A9%2A8%2A7%2A6%2F%2830%2A29%2A28%2A27%2A26%2A25%29=22%2F28275 ALIGN=MIDDLE  ALT=\"11%2A10%2A9%2A8%2A7%2A6%2F%2830%2A29%2A28%2A27%2A26%2A25%29=22%2F28275\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It really does not matter how the names are randomly selected.<BR>\n" );
document.write( "In only <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22%2F28275 ALIGN=MIDDLE  ALT=\"22%2F28275\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the cases there would be only males selected.<BR>\n" );
document.write( "The probability is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22%2F28275 ALIGN=MIDDLE  ALT=\"22%2F28275\"   DISABLED_style= \"max-width:90%; height:auto;\" >= approximately<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.0007781 ALIGN=MIDDLE  ALT=\"0.0007781\"   DISABLED_style= \"max-width:90%; height:auto;\" > or 0.07781%.<BR>\n" );
document.write( "It can also be stated as the probability is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%3Ax ALIGN=MIDDLE  ALT=\"1%3Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" > one in x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22%2F28275=1%2Fx ALIGN=MIDDLE  ALT=\"22%2F28275=1%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=28275%2F22 ALIGN=MIDDLE  ALT=\"x=28275%2F22\"   DISABLED_style= \"max-width:90%; height:auto;\" >= approximately<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1285 ALIGN=MIDDLE  ALT=\"1285\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There is a 1 in 1285 probability of selecting only men. </SPAN>\n" );
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