document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=617401>Question 617401</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a bag are 4 yellow and 8 blue marbles. 3 are selected at random without replacement. What is the probability that all 3 are yellow or all 3 are blue? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #388308 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=388308\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> P(3 yellow) = (4/12)*(3/11)*(2/10) = 24/1320 = 1/55\r<BR>\n" );
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document.write( "P(3 blue) = (8/12)*(7/11)*(6/10) = 336/1320 = 14/55\r<BR>\n" );
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document.write( "P(3 Yellow OR 3 Blue) = P(3 yellow) + P(3 blue)\r<BR>\n" );
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document.write( "P(3 Yellow OR 3 Blue) = 1/55 + 14/55\r<BR>\n" );
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document.write( "P(3 Yellow OR 3 Blue) = 15/55\r<BR>\n" );
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document.write( "P(3 Yellow OR 3 Blue) = <font color=\"red\">3/11</font>\r<BR>\n" );
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document.write( "Note: we can simply add the probabilities because the two events are mutually exclusive.<BR>\n" );
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