document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1119461>Question 1119461</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three balls are randomly chosen from an urn containing 3 white, 3 red, and 5 black balls. suppose that we win #1 for each white ball selected and lose #1 for each red ball selected. what is the probability that we win the money? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #735049 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=735049\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Three balls are randomly chosen from an urn containing 3 white, 3 red, and 5 black balls. suppose that we win #1 for each white ball selected and lose #1 for each red ball selected. what is the probability that we win the money? <BR>\n" );
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document.write( "Determine # of ways to \"win\"::<BR>\n" );
document.write( "3white:: 1 way<BR>\n" );
document.write( "2white and 1red:: 3C2*3C1 = 3*3 = 9 ways<BR>\n" );
document.write( "2white and 1black:: 3C2*5C1 = 3*5 = 15 ways<BR>\n" );
document.write( "1white and 2black:: 3C1*5C2 = 3*10 = 30 ways<BR>\n" );
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document.write( "Determine # of possible triples:: 11C3 = (11*10*9)/(1*2*3) = 165<BR>\n" );
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document.write( "Ans:: (1+9+15+30)/165 = 55/165<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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