document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=35053>Question 35053</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?\r<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 #21265 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=21265\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4 options:<BR>\n" );
document.write( "RRRB<BR>\n" );
document.write( "RRBR<BR>\n" );
document.write( "RBRR<BR>\n" );
document.write( "BRRR\r<BR>\n" );
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document.write( "Look at RRRB ans assuming there is no replacement of marbles during this process:<BR>\n" );
document.write( "First out is red: P = 5/12<BR>\n" );
document.write( "second out is red: P = 4/11<BR>\n" );
document.write( "third out is red: P = 3/10<BR>\n" );
document.write( "fourth out is black: P = 7/9\r<BR>\n" );
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document.write( "--> P = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%285%2F12%29%2A%284%2F11%29%2A%283%2F10%29%2A%287%2F9%29+ ALIGN=MIDDLE  ALT=\"+%285%2F12%29%2A%284%2F11%29%2A%283%2F10%29%2A%287%2F9%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now look at RRBR:<BR>\n" );
document.write( "--> P = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%285%2F12%29%2A%284%2F11%29%2A%287%2F10%29%2A%283%2F9%29+ ALIGN=MIDDLE  ALT=\"+%285%2F12%29%2A%284%2F11%29%2A%287%2F10%29%2A%283%2F9%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which if you look closely is the same thing as RRRB\r<BR>\n" );
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document.write( "So, in total we have 4 versions of the same thing <BR>\n" );
document.write( "--> P = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+%285%2F12%29%2A%284%2F11%29%2A%283%2F10%29%2A%287%2F9%29+ ALIGN=MIDDLE  ALT=\"4+%285%2F12%29%2A%284%2F11%29%2A%283%2F10%29%2A%287%2F9%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--> P = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%284%2A5%2A4%2A3%2A7%29%2F%2812%2A11%2A10%2A9%29+ ALIGN=MIDDLE  ALT=\"+%284%2A5%2A4%2A3%2A7%29%2F%2812%2A11%2A10%2A9%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--> P = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%284%2A5%2A7%29%2F%2811%2A10%2A9%29+ ALIGN=MIDDLE  ALT=\"+%284%2A5%2A7%29%2F%2811%2A10%2A9%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--> P = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%284%2A7%29%2F%2811%2A2%2A9%29+ ALIGN=MIDDLE  ALT=\"+%284%2A7%29%2F%2811%2A2%2A9%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--> P = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282%2A7%29%2F%2811%2A9%29+ ALIGN=MIDDLE  ALT=\"+%282%2A7%29%2F%2811%2A9%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--> P = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+14%2F99+ ALIGN=MIDDLE  ALT=\"+14%2F99+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--> P = 0.141414\r<BR>\n" );
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document.write( "jon.<BR>\n" );
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