document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=355171>Question 355171</A>: <I><SPAN STYLE=\"word-break: break-all;\"> At a community college, there are seven executive officers: four women and three men.  Three are selected to attend the national accreditation convention.  Find the probability that:\r<BR>\n" );
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document.write( "1) all three selected will be women<BR>\n" );
document.write( "2) all three selected will be men<BR>\n" );
document.write( "3) two men and one woman will be selected<BR>\n" );
document.write( "4) one man and two women will be selected </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #253725 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=253725\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi,<BR>\n" );
document.write( "Note: The probability of x successes in n trials is: <BR>\n" );
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document.write( "P = nCx* <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5Ex ALIGN=MIDDLE  ALT=\"p%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q%5E%28n-x%29 ALIGN=MIDDLE  ALT=\"q%5E%28n-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where p and q are the probabilities of success and failure respectively. In this case p(a women chosen) = 4/7 and q = 3/7<BR>\n" );
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document.write( "nCx = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%21%2F%28x%21%28n-x%21%29%29 ALIGN=MIDDLE  ALT=\"n%21%2F%28x%21%28n-x%21%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "1) P(all three selected will be women) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F7%29%5E3 ALIGN=MIDDLE  ALT=\"%284%2F7%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "2) P(all three selected will be men) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F7%29%5E3 ALIGN=MIDDLE  ALT=\"%283%2F7%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "3) P(two men and one woman will be selected) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A%284%2F7%29%5E1+%2A%28+3%2F7%29%5E2 ALIGN=MIDDLE  ALT=\"3%2A%284%2F7%29%5E1+%2A%28+3%2F7%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "4) P(one man and two women will be selected) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A%284%2F7%29%5E2+%2A+%283%2F7%29%5E1 ALIGN=MIDDLE  ALT=\"3%2A%284%2F7%29%5E2+%2A+%283%2F7%29%5E1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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