document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1188839>Question 1188839</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A basket contains 10 apples and 20 oranges of which 3 apples and 5 oranges are organic produce. If we choose two fruits at random, what is the probability that either both are oranges or both are non-organic produce? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #820057 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=820057\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> both oranges is (20/30)(19/29)=380/870=38/87=0.4368<BR>\n" );
document.write( "both non-organic is (22/30)(21/29)=462/870=0.5310<BR>\n" );
document.write( "probability that both oranges and non-organic:  it is (15/30)(14/19))=210/570=7/19=0.3684<BR>\n" );
document.write( "It is the sum of the first two minus the third, which deals with double counting: 0.5994 </SPAN>\n" );
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