document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=404572>Question 404572</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. A drawer contains 10 pairs of loose, unpaired socks.  Three pairs are black, 4 are gray, and 3 <BR>\n" );
document.write( "are brown.  If you remove 2 of the socks, what is the probability that they will match?  </SPAN>\n" );
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document.write( "no. of black socks = 6, \r<BR>\n" );
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document.write( "gray socks = 8 \r<BR>\n" );
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document.write( "brown socks = 6\r<BR>\n" );
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document.write( "For matching socks both must be either black, gray or brown.\r<BR>\n" );
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document.write( "Probability of both are black = 6C2 / 20C2 \r<BR>\n" );
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document.write( "Probability of both are gray = 8C2 / 20C2 \r<BR>\n" );
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document.write( "Probability of both are brown = 6C2 / 20C2 \r<BR>\n" );
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document.write( "these are mutually exclusive events..\r<BR>\n" );
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document.write( "probability of socks are matching = [6C2 / 20C2] + [8C2 / 20C2] + [6C2 / 20C2]\r<BR>\n" );
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document.write( "= 15/190 + 28/190 + 15/190 \r<BR>\n" );
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document.write( "= 58/190\r<BR>\n" );
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document.write( "= 29/95<BR>\n" );
document.write( " \r<BR>\n" );
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document.write( "   </SPAN>\n" );
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