document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=987499>Question 987499</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Out of 400 little plastic eggs in a barrel, 75 each contain a small diamond, and the rest each contain a small piece of cut glass.\r<BR>\n" );
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document.write( "Out of the 400 eggs, 250 are painted red, and 150 are painted blue.\r<BR>\n" );
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document.write( "Out of the 75 eggs with diamonds, 45 are painted red, and 30 are painted blue.\r<BR>\n" );
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document.write( "You're allowed to take 10 eggs out of the barrel.\r<BR>\n" );
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document.write( "Which combination of eggs should you take, to get as many diamonds as possible? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #608252 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=608252\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> With each draw, the probability changes.<BR>\n" );
document.write( "Initially, blue has a 0.20 chance, and red has a 0.18 chance<BR>\n" );
document.write( "The first four should be blue, but then the probability of the next's being blue is <0.18.<BR>\n" );
document.write( "The next is red, then blue, then red,then red, then blue, then red.<BR>\n" );
document.write( "BBBBRBRRBR.<BR>\n" );
document.write( "Just keep computing the probability as the numerator and the denominator change with each draw.<BR>\n" );
document.write( "It is very close, and because blue is smaller, the changes are greater than for red.<BR>\n" );
document.write( "30/150<BR>\n" );
document.write( "29/149<BR>\n" );
document.write( "28/148<BR>\n" );
document.write( "27/147<BR>\n" );
document.write( "45/250<BR>\n" );
document.write( "26/146<BR>\n" );
document.write( "44.249<BR>\n" );
document.write( "43/248<BR>\n" );
document.write( "25/145<BR>\n" );
document.write( "42/247 </SPAN>\n" );
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