document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=942598>Question 942598</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A drawer contains 6 black socks, and 8 white socks unpaired. IN the dark a man takes out two socks one after the other Using a probability tree determine the probability that the man took out two socks of the same color? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #574687 by </B><A HREF=/tutors/aboutme.mpl?userid=mathmate><B>mathmate(429)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathmate><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=mathmate><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=574687\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">   <BR>\n" );
document.write( "Given:<BR>\n" );
document.write( "A drawer contains 6 black socks and 8 white socks (14 in all).<BR>\n" );
document.write( "  <BR>\n" );
document.write( "Find:<BR>\n" );
document.write( "Randomly pick two socks and they form a pair of the same colour.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "Solution:<BR>\n" );
document.write( "The tree diagram is attached.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=mathmate&illustration_name=942598.jpg\"><BR>\n" );
document.write( "Probability of getting a pair of black socks = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2F182 ALIGN=MIDDLE  ALT=\"30%2F182\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Probability of getting a pair of white socks = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=56%2F182 ALIGN=MIDDLE  ALT=\"56%2F182\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "probability of getting a pair of the same colour = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2830%2B56%29%2F182+=+86%2F182+=+43%2F91 ALIGN=MIDDLE  ALT=\"%2830%2B56%29%2F182+=+86%2F182+=+43%2F91\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <BR>\n" );
document.write( "Answer:<BR>\n" );
document.write( "Probability of getting a pair of the same colour = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=43%2F91 ALIGN=MIDDLE  ALT=\"43%2F91\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );