document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=35054>Question 35054</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <b> Solve using whatever counting methods are necessary. Please show work.</b>\r<BR>\n" );
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document.write( "A box contains 5 red marbles and 7 black marbles. You draw 4 marbles randomly from the box. What is the probability that you will draw 3 red marbles and 1 black marble in any order? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #21242 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=21242\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A box contains 5 red marbles and 7 black marbles. You draw 4 marbles randomly from the box. What is the probability that you will draw 3 red marbles and 1 black marble in any order? <BR>\n" );
document.write( "TAKING 4 MARBLES  FROM TOTAL 7+5=12 MARBLES =12C4=12!/(4!)(12-4)!=12!/(4!)(8!)<BR>\n" );
document.write( "=12*11*10*9/4*3*2=495<BR>\n" );
document.write( "TAKING 3 RED FROM 5 RED....5C3=5!/3!2!=5*4/2=10<BR>\n" );
document.write( "TAKING 1 BLACK FROM 7 BLACK....=7C1=7!/1!6!=7<BR>\n" );
document.write( "NO OF FEASIBLE COMBINATIONS =10*7=70<BR>\n" );
document.write( "PROBABILITY=70/495 </SPAN>\n" );
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