document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1150040>Question 1150040</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A retailer purchases 210 of a new brand of DVD player, of which 4 are defective. The purchase agreement says that if he tests 5 chosen at random and finds 1 or more defective, he receives all the DVD players free of charge. What is the probability that he will not have to pay for the DVD players? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #771395 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=771395\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> number of ways to choose 5 is 210C5<BR>\n" );
document.write( "find probability all are not defective is the complement of the answer.<BR>\n" );
document.write( "that is 206C5\r<BR>\n" );
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document.write( "Also, the probability of the first not being defective is 206/210, the second 205/209. then 204/208, and 203/207.\r<BR>\n" );
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document.write( "That probability is 0.9075 of not being defective.\r<BR>\n" );
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document.write( "The question asks for probability of at least 1 being defective (so he doesn't have to pay), and that is the complement or 0.0925.<BR>\n" );
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