document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=615197>Question 615197</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There a 100 ducks in a pond.  15 of them have red dots on them.  If three ducks are randomly picked.  What is the probability that 2 of them are ducks with a red dot?  Once a duck is picked, it does not go back in the pond.\r<BR>\n" );
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document.write( "Here is what I tried.\r<BR>\n" );
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document.write( "15/100 X 14/99 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #387187 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=387187\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There a 100 ducks in a pond. 15 of them have red dots on them. If three ducks are randomly picked. What is the probability that 2 of them are ducks with a red dot? Once a duck is picked, it does not go back in the pond. <BR>\n" );
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document.write( "# of triples with 2 red and and 1 not red.<BR>\n" );
document.write( "15C2*85 = 105*85 = 8925<BR>\n" );
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document.write( "# of random triples = 100C3 = 161700<BR>\n" );
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document.write( "P(2 red and 1 not red) = 8925/161700 = 0.0552<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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