document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=318956>Question 318956</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can anyone help me with this probability question?  You have a group of 10 people, 4 are women and 6 men.  A blindfolded woman pulls three names from a bag and they are all three women-what is the probability of this luck?  I know the full amount of people is 10, four of which are woman so the probability is 4/10 or out of 10 chances, there were 4 opportunities (reduced down to 2/5) is this correct? Any help would be appreciated! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #228326 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=228326\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You have a group of 10 people, 4 are women and 6 men.<BR>\n" );
document.write( "------- <BR>\n" );
document.write( "A blindfolded woman pulls three names from a bag and they are all three women-what is the probability of this luck?<BR>\n" );
document.write( "----<BR>\n" );
document.write( "# of ways to pull 3 \"women\" from the bag: 4C3 = 4<BR>\n" );
document.write( "Comment: The \"C\" stands for \"combination\".  When you <BR>\n" );
document.write( "count combinations, you are counting groups.  You<BR>\n" );
document.write( "could select 4 distinct groups of 3 women from a set containing<BR>\n" );
document.write( "4 woman.<BR>\n" );
document.write( "Try it with {a,b,c,d}<BR>\n" );
document.write( "Each time you select 3 you are not selecting 1.<BR>\n" );
document.write( "And there are 4 ways to not select one; so there<BR>\n" );
document.write( "are 4 wasys to select three.\r<BR>\n" );
document.write( "\n" );
document.write( "----<BR>\n" );
document.write( "# of ways to pull 3 tags randomly from the bag: 10C3 = (10*9*8)/(1*2*3) = 120<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Probability of pulling 3 \"women\" from the bag: 4/120 = 1/30<BR>\n" );
document.write( "===============================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );