document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=359390>Question 359390</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I was just wondering if someone could double check my work on this problem:<BR>\n" );
document.write( "A box contains 8 good parts and 4 defective parts. If a sample of 2 parts is drawn from the box at random (without replacement), what is the probability of each of the following:\r<BR>\n" );
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document.write( "Two good parts are selected.  (my answer 8/12 * 7/11 = 14/33 or 42%)<BR>\n" );
document.write( "Two defective parts are selected.  (my answer 4/12 * 3/11= 1/11 or 9%)<BR>\n" );
document.write( "One good part is selected first, and then one defective part is selected second?<BR>\n" );
document.write( "(my answer 8/12 or 66% chance of good part first, 4/11 or 36% chance of defective part being chosen second 8/12 * 4/11 = 8/33 or 24% totalling a 24% chance)<BR>\n" );
document.write( "Exactly one defective part out of the two is selected.  (my answer ?)<BR>\n" );
document.write( "Any input would be apprieciated!<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #256710 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=256710\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.Two good parts are selected.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28G%2CG%29=14%2F33 ALIGN=MIDDLE  ALT=\"P%28G%2CG%29=14%2F33\"   DISABLED_style= \"max-width:90%; height:auto;\" > , Correct!<BR>\n" );
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document.write( "2.Two defective parts are selected. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28D%2CD%29=1%2F11 ALIGN=MIDDLE  ALT=\"P%28D%2CD%29=1%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" >, Correct!<BR>\n" );
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document.write( "3.1st good, 2nd defective.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28G%2CD%29=8%2F33 ALIGN=MIDDLE  ALT=\"P%28G%2CD%29=8%2F33\"   DISABLED_style= \"max-width:90%; height:auto;\" >, Correct!<BR>\n" );
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document.write( "Exactly one defective part out of the two is selected.<BR>\n" );
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document.write( "You already have half of the answer (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28G%2CD%29=8%2F33 ALIGN=MIDDLE  ALT=\"P%28G%2CD%29=8%2F33\"   DISABLED_style= \"max-width:90%; height:auto;\" >). <BR>\n" );
document.write( "What about if you choose a defective part first, then a good part.<BR>\n" );
document.write( "That would give you <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28D%2CG%29 ALIGN=MIDDLE  ALT=\"P%28D%2CG%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "P(exactly 1)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28D%2CG%29%2BP%28G%2CD%29 ALIGN=MIDDLE  ALT=\"P%28D%2CG%29%2BP%28G%2CD%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "P(exactly 1)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28D%2CG%29%2B8%2F33 ALIGN=MIDDLE  ALT=\"P%28D%2CG%29%2B8%2F33\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Also,remember there are only 4 choices you can make, picking two parts.<BR>\n" );
document.write( "GG-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28G%2CG%29=14%2F33 ALIGN=MIDDLE  ALT=\"P%28G%2CG%29=14%2F33\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "DD-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28D%2CD%29=1%2F11 ALIGN=MIDDLE  ALT=\"P%28D%2CD%29=1%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "GD-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28G%2CD%29=8%2F33 ALIGN=MIDDLE  ALT=\"P%28G%2CD%29=8%2F33\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "DG-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28D%2CG%29 ALIGN=MIDDLE  ALT=\"P%28D%2CG%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=??<BR>\n" );
document.write( "Remember also that the sum of the probability for all of the events must be 1.<BR>\n" );
document.write( "So you can solve this problem in two ways, or use the other way to check your work.\r<BR>\n" );
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