document.write( "Question 314759: After studying all night for a final exam, a bleary-eyed student randomly grabs 2 socks from a drawer containing 9 black, 6 brown and 2 blue socks, all mixed together. What is the probability that she grabs a matched pair?
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Algebra.Com's Answer #225107 by Edwin McCravy(20086) $\"\"$ $\"About$

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After studying all night for a final exam, a bleary-eyed student randomly grabs 2 socks from a drawer containing 9 black, 6 brown and 2 blue socks, all mixed together. What is the probability that she grabs a matched pair?
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document.write( "She can grab two black socks any of 9C2 or 36 ways.\r\n" );
document.write( "She can grab two brown socks any of 15 ways.\r\n" );
document.write( "She can grab two blue socks 2C2 or 1 way.\r\n" );
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document.write( "So she can be successful in 36+15+1 or 52 ways\r\n" );
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document.write( "She can pick any two socks 17C2 or 136 ways.\r\n" );
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document.write( "The desired probability is , or .\r\n" );
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document.write( "Edwin

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