document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=994679>Question 994679</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if 7 mangoes are chosen at random from 10 mangoes of which 3 are rotten, what is the probability that exactly one is not rotten and the probability that at least one is rotten?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #613689 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=613689\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> probability of one being not rotten is 0.7.<BR>\n" );
document.write( "Exactly 1 is 7(0.7)^1(0.3)^6, the 7 being the number of ways it can be chosen, first, second, third, fourth, fifth, sixth, or seventh.<BR>\n" );
document.write( "=0.00357<BR>\n" );
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document.write( "for at least one is rotten: Probability none is rotten and subtract that from 1.  That is easier than calculating 1,2,3,4,5,6,7.<BR>\n" );
document.write( "The probability that none is rotten is 0.7^7=0.0824<BR>\n" );
document.write( "The probability that at least one is rotten is the complement, or 0.918 </SPAN>\n" );
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