document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=442929>Question 442929</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are 8 blue, 3 green, and 10 yellow socks in a drawer. You randomly choose one, then another, without replacement. Find the probability of choosing two blue socks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #305522 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=305522\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's count how many socks we have all together:\r<BR>\n" );
document.write( "\n" );
document.write( "8 + 3 + 10 = 21.\r<BR>\n" );
document.write( "\n" );
document.write( "We have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2821%29 ALIGN=MIDDLE  ALT=\"highlight%2821%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > socks.\r<BR>\n" );
document.write( "\n" );
document.write( "Now how many blue socks do we have?\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%288%29 ALIGN=MIDDLE  ALT=\"highlight%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "So we have a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F21 ALIGN=MIDDLE  ALT=\"8%2F21\"   DISABLED_style= \"max-width:90%; height:auto;\" > chance of drawing a blue sock.\r<BR>\n" );
document.write( "\n" );
document.write( "We take a blue sock and we don't replace it.<BR>\n" );
document.write( "How many socks do we have left? 20. How many blue socks do we have left? 7.\r<BR>\n" );
document.write( "\n" );
document.write( "We have a 7/20 chance of drawing a blue sock.\r<BR>\n" );
document.write( "\n" );
document.write( "So what is P(Blue Sock and Another Blue Sock) = P(Blue Sock) * P(Another Blue Sock) =  (8/21) * (7/20)\r<BR>\n" );
document.write( "\n" );
document.write( "Let's simplify this:\r<BR>\n" );
document.write( "\n" );
document.write( "To make this easier, let's take each term into it's prime decomposition. This is if you have trouble simplifying fractions.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=expr%28%282%2A2%2A2%29%2F%283%2A7%29%29+%2A+expr%287%2F%282%2A2%2A5%29%29+=+expr%28%28cross%282%29%2Across%282%29%2A2%29%2F%283%2Across%287%29%29%29+%2A+expr%28cross%287%29%2F%28cross%282%29%2Across%282%29%2A5%29%29+=+expr%282%2F%283%2A5%29%29=2%2F15 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "If you aren't comfortable with that, then just multiply it straight out <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288%2A7%29%2F%2820%2A21%29+=+56%2F420+=+%282%2A28%29%2F%282%2A210%29+=+%28cross%282%29+%2A+28%29%2F+%28cross%282%29+%2A210%29+=+%2814%2A2%29+%2F+%2814+%2A+15%29+=+%28cross%2814%29%2A2%29%2F%28cross%2814%29%2A15%29+=+2%2F15 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );