document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=417917>Question 417917</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me solve this question.<BR>\n" );
document.write( "there are three urns, A B C. In A there are 6 blue and 4 green balls, In B there are 2 blue and 8 green balls, In C there are 5 blue and 5 green balls. 3 balls are then randomly drawn from each urn without replacement. what is the probability of drawing 8 balls of the same color?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #292558 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=292558\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> there are three urns, A B C. In A there are 6 blue and 4 green balls, In B there are 2 blue and 8 green balls, In C there are 5 blue and 5 green balls. 3 balls are then randomly drawn from each urn without replacement. <BR>\n" );
document.write( "what is the probability of drawing 8 balls of the same color?<BR>\n" );
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document.write( "Total balls 30<BR>\n" );
document.write( "Pick a color: 2 ways<BR>\n" );
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document.write( "Blues:<BR>\n" );
document.write( "A has 6<BR>\n" );
document.write( "B has 2<BR>\n" );
document.write( "C has 5<BR>\n" );
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document.write( "Pick 8 blue balls: A3/B2/C3 : <BR>\n" );
document.write( "6C3*2C2*5C3 = 20*1*10 = 200 ways\r<BR>\n" );
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document.write( "Green:<BR>\n" );
document.write( "A has 4<BR>\n" );
document.write( "B has 8<BR>\n" );
document.write( "C has 5<BR>\n" );
document.write( "Pick 8 green : <BR>\n" );
document.write( "4C3*8C3*5C2 = 4*56*10 = 2240 ways<BR>\n" );
document.write( "or 8C3*5C3*4C3 = 56*10*4 = 2240 = ways <BR>\n" );
document.write( "or 5C3*4C3*8C2 = 10*4*28 = 1120 = ways<BR>\n" );
document.write( "Total 8 green = 5600<BR>\n" );
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document.write( "Total # of ways to get 8blue or 8 green = 5800<BR>\n" );
document.write( "Total # of sets of 3/3/3<BR>\n" );
document.write( "(10C3)^3 = 120^3 = 1728000<BR>\n" );
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document.write( "P(8 blue or 8 green) = 5800/1728000 = 0.003356<BR>\n" );
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document.write( "Comment:<BR>\n" );
document.write( "Don't take all this as Gospel truth unless <BR>\n" );
document.write( "you agree with the approach and the arithmetic.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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