document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=199456>Question 199456</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A population consists of 15 items, 10 of which are acceptable. In a sample of 4 items, what is the probability that exactly three are acceptable? Assume the samples are drawn 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 #149953 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=149953\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A population consists of 15 items, 10 of which are acceptable. In a sample of 4 items, what is the probability that exactly three are acceptable? Assume the samples are drawn without replacement.<BR>\n" );
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document.write( "# of ways to pick 3 \"acceptable\": 10C3 = 120<BR>\n" );
document.write( "# of ways to pick 1 not acceptable: 5C1 = 5<BR>\n" );
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document.write( "# of ways to pick 4 where exactly 3 are acceptable: 120*5 = 600<BR>\n" );
document.write( "# of ways to pick 4 with no restrictions: 15C4 = 1365<BR>\n" );
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document.write( "Probability that you want = 600/1365 = 40/91<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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