document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=103004>Question 103004</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A group consists of 5 males and 6 females. Four people are selected from the group.<BR>\n" );
document.write( "1. In how many ways can we choose 4 people from those 11?<BR>\n" );
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document.write( "2. In how many ways can we choose 4 females from the 6 females?<BR>\n" );
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document.write( "3. What is the probability that we get all 4 females when we choose 4 from the whole group?<BR>\n" );
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document.write( "4. What is the probability that we get at least 1 male when we choose 4 from the whole group?<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 #74919 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=74919\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A group consists of 5 males and 6 females. Four people are selected from the group.<BR>\n" );
document.write( "1. In how many ways can we choose 4 people from those 11?<BR>\n" );
document.write( "11C4 = [11*10*9*8]/[1*2*3*4] = 330<BR>\n" );
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document.write( "2. In how many ways can we choose 4 females from the 6 females?<BR>\n" );
document.write( "6C4 = 6C2 = [6*5]/[1*2] = 15<BR>\n" );
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document.write( "3. What is the probability that we get all 4 females when we choose 4 from the whole group?<BR>\n" );
document.write( "15/330<BR>\n" );
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document.write( "4. What is the probability that we get at least 1 male when we choose 4 from the whole group?<BR>\n" );
document.write( "P(at least one male) = 1 - P(no male in choosing 4) = 1 - 15/330 = 315/330<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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