document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=849823>Question 849823</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2)	A nursery advertises that it has 16 elm trees for sale. Unknown to the nursery, 5 of the trees have already been infected with Dutch elm disease and will die within a year. (Hint: The buying of trees is done without replacement.)\r<BR>\n" );
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document.write( "a)	If a buyer purchases three trees, what is the probability that all three trees will be healthy?\r<BR>\n" );
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document.write( "b)	What is the probability that at least one of the trees is infected?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #511769 by </B><A HREF=/tutors/aboutme.mpl?userid=reviewermath><B>reviewermath(1029)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=reviewermath><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=reviewermath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=511769\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A nursery advertises that it has 16 elm trees for sale. Unknown to the nursery, 5 of the trees have already been infected with Dutch elm disease and will die within a year. (Hint: The buying of trees is done without replacement.) \r<BR>\n" );
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document.write( "a)If a buyer purchases three trees, what is the probability that all three trees will be healthy? \r<BR>\n" );
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document.write( "probability = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C1%2C11%2C3%29%29%28matrix%282%2C1%2C5%2C0%29%29%2F%28%28matrix%282%2C1%2C16%2C3%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%280.2946%29 ALIGN=MIDDLE  ALT=\"highlight%280.2946%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "b) What is the probability that at least one of the trees is infected?\r<BR>\n" );
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document.write( "Subtract the probability in letter \"a\" from 1, the result is<BR>\n" );
document.write( " 1 - 0.2946 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%280.7054%29 ALIGN=MIDDLE  ALT=\"highlight%280.7054%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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