document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=724259>Question 724259</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three screws are drawn at random from a lot of 100 screws, 10 of which are defective. Find the probability of an event that all three screws drawn are non defective, assuming that we draw <BR>\n" );
document.write( "(a) with replacement<BR>\n" );
document.write( "(b) without replacement </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #443672 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=443672\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Three screws are drawn at random from a lot of 100 screws, 10 of which are defective. Find the probability of an event that all three screws drawn are non defective, assuming that we draw <BR>\n" );
document.write( "a) with replacement<BR>\n" );
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document.write( "Binomial problem with n = 3 ; p(defect) = 0.1 ; p(not defect) = 0.9<BR>\n" );
document.write( "P(3 not defective) = 0.9^3 = 0.729<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "(b) without replacement<BR>\n" );
document.write( "# of ways to succeed: 90C3<BR>\n" );
document.write( "# of possible outcomes: 100C3<BR>\n" );
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document.write( "P(3 not defective) = 90C3/100C3 = 0.7265<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" );