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 #613691 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=613691\">put this solution on YOUR website!</A><BR><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 <BR>\n" );
document.write( "--<BR>\n" );
document.write( "Binomial Problem with n = 7 and p(rotten) = 3/10; p(not rotten) = 7/10<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "P(x = 1 not rotten) = 7C1*(7/10)*(3/10)^6 = binompdf(7,7/10,1) = 0.0036<BR>\n" );
document.write( "-------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "and the probability that at least one is rotten?<BR>\n" );
document.write( "P(1<= x <= 7) = 1 - P(x = 0 rotten) = 1 - (7/10)^7 = 0.9177<BR>\n" );
document.write( " <BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );