document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1166422>Question 1166422</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There is a bag with 5 red marbles, 11 blue marbles and 4 green marbles.  If you always draw tokens without replacement, what is the probability that you:\r<BR>\n" );
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document.write( "a. need to draw more than 4 marbles to get a red marble<BR>\n" );
document.write( "b. draw 4 marbles and get only one green marble </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #790942 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=790942\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find probability draw fewer than 4 marbles to get a red one<BR>\n" );
document.write( "for the first one red is 5/20=0.25<BR>\n" );
document.write( "for the second one red is (15/20)(5/19)=0.1974<BR>\n" );
document.write( "for the third one red is (15/20)(14/19)(5/18)=0.1535<BR>\n" );
document.write( "for the fourth one red is (15/20)(14/19)(13/18)(5/17)=0.1174<BR>\n" );
document.write( "That sum is 0.7883<BR>\n" );
document.write( "Therefore, the probability it will require more than 4 draws is the complement or 0.2117\r<BR>\n" );
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document.write( "Draw 4 and get only 1 green<BR>\n" );
document.write( "on the first (4/20) or 0.2<BR>\n" );
document.write( "on the second (16/20)(4/19)=0.1684<BR>\n" );
document.write( "on the third (16/20)(15/19(4/18)=0.1404<BR>\n" );
document.write( "on the fourth (16/20)(15/19)(14/18)(4/17)=0.1156\r<BR>\n" );
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document.write( "That sum is the answer or 0.6244<BR>\n" );
document.write( " </SPAN>\n" );
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