document.write( "Question 945809: What is the probability (to the nearest whole percent) of picking two black socks out of the drawer on consecutive picks when there are 6 blue socks, 8 black socks, and 6 white socks in the drawer? Assume the first sock is not replaced before the second sock is chosen. \n" ); document.write( "

Algebra.Com's Answer #576947 by KMST(5328) $\"\"$ $\"About$

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For the first pick,
\n" ); document.write( "there is a total of $\"6%2B8%2B6=20\"$ socks in the drawer.
\n" ); document.write( "and only $\"8\"$ of them are black,
\n" ); document.write( "so the chance of getting a black sock is $\"8%2F20=2%2F5\"$ .
\n" ); document.write( "So you would get a black sock $\"2%2F5=40%2F100=%2240%25%22\"$ of the time.
\n" ); document.write( "In the $\"2%2F5=40%2F100=%2240%25%22\"$ of the cases when your first pick was a black sock,
\n" ); document.write( "you would have $\"8-1=7\"$ black socks left,
\n" ); document.write( "in a drawer containing a total of $\"20-1=19\"$ socks.
\n" ); document.write( "In that case, the chance of getting a black sock for the second pick is $\"7%2F19=about\"$ $\"0.3684\"$ .
\n" ); document.write( "So, the overall fraction of the times that you would get two black socks out of the drawer on consecutive picks is
\n" ); document.write( " $\"7%2F19\"$ of $\"2%2F5=40%2F100=%2240%25%22\"$ of the cases, or
\n" ); document.write( " $\"%287%2F19%29%2A%2840%2F100%29=about\"$ $\"0.3684%2A%2840%2F100%29=14.736%2F100=about\"$ $\"15%2F100=highlight%28%2215%25%22%29\"$ (rounding to the nearest whole percent). \n" ); document.write( "

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