document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=982878>Question 982878</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A box contains 9 green, 1 red, 5 yellow, 6 blue, and 7 purple marbles. Four marbles are drawn from the box simultaneously.<BR>\n" );
document.write( "a) What is the probability that none of the marbles are purple?<BR>\n" );
document.write( "b)What is the probability that all four buttons are different colors?<BR>\n" );
document.write( "c)What is the probability that at least three of the marbles are green?<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 #603684 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=603684\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "a.  The probability that the first marble is not purple times the probability the second marble is not purple given that the first marble is not purple times the probability that the third marble is not purple given that the first and second marbles are not purple times the probability the fourth marble is not purple given that the first, second, and third marbles are not purple.  If <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large p\"> is the number of non-purple marbles, and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large n\"> is the total number of marbles, then:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  \frac{p(p-1)(p-2)(p-3)}{n(n-1)(n-2)(n-3)}\">\r<BR>\n" );
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document.write( "b.  Zero.  There is no chance of selecting a button of any color from a bag of marbles.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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