document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1041971>Question 1041971</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Amanda and Dirk are renting in&#8208;line skates for a day in the park. They both take the same size shoe, and there are 4 pairs remaining in their size. Unbeknownst to them, 2 of the pairs of skates have defective bearings. If they randomly choose 2 pairs, what is the probability they will both get a pair of skates that are not defective?<BR>\n" );
document.write( "(List all of the outcomes of the sample space.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #656878 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=656878\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=U%5B1%5D ALIGN=MIDDLE  ALT=\"U%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=U%5B2%5D ALIGN=MIDDLE  ALT=\"U%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > be the two non-defective pair of skates, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5B1%5D ALIGN=MIDDLE  ALT=\"D%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5B2%5D ALIGN=MIDDLE  ALT=\"D%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > the two defective pairs of skates.<BR>\n" );
document.write( "Then the sample space is <BR>\n" );
document.write( "{ { <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=U%5B1%5D ALIGN=MIDDLE  ALT=\"U%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=U%5B2%5D ALIGN=MIDDLE  ALT=\"U%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > }, { <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5B1%5D ALIGN=MIDDLE  ALT=\"D%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5B2%5D ALIGN=MIDDLE  ALT=\"D%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > },  { <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5B1%5D ALIGN=MIDDLE  ALT=\"D%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=U%5B1%5D ALIGN=MIDDLE  ALT=\"U%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > },  { <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5B1%5D ALIGN=MIDDLE  ALT=\"D%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=U%5B2%5D ALIGN=MIDDLE  ALT=\"U%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > },  { <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=U%5B1%5D ALIGN=MIDDLE  ALT=\"U%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5B2%5D ALIGN=MIDDLE  ALT=\"D%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > },  { <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=U%5B2%5D ALIGN=MIDDLE  ALT=\"U%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5B2%5D ALIGN=MIDDLE  ALT=\"D%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > } }.\r<BR>\n" );
document.write( "\n" );
document.write( "The probability that they will both get a pair of skates that are not defective is then 1/6. </SPAN>\n" );
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