document.write( "Question 1163157: Your Sock drawer has six white socks, six brown socks, and for black socks. You randomly pick two socks and get a matching pair of black socks. Find the probability of this occurring. \n" ); document.write( "
Algebra.Com's Answer #787154 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
,
\n" ); document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "In all, there are 6 + 6 + 4 = 16 socks in the drawer.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The probability to get first sock black is  \"4%2F16\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The probability to get the second sock black is then  \"3%2F15\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The overall probability is the product  P = \"%284%2F16%29%2A%283%2F15%29\" = \"%281%2F4%29%2A%281%2F5%29\" = \"1%2F20\" = 0.05.    ANSWER\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "---------------\r
\n" ); document.write( "\n" ); document.write( "On Elementary Probability theory problems see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Simple and simplest probability problems \r
\n" ); document.write( "\n" ); document.write( "    - Solving probability problems using complementary probability \r
\n" ); document.write( "\n" ); document.write( "    - Elementary Probability problems related to combinations \r
\n" ); document.write( "\n" ); document.write( "    - A True/False test \r
\n" ); document.write( "\n" ); document.write( "    - A multiple choice answers test\r
\n" ); document.write( "\n" ); document.write( "    - Conditional probability problems \r
\n" ); document.write( "\n" ); document.write( "    - Typical probability problems from the archive \r
\n" ); document.write( "\n" ); document.write( "    - Experimental probability problems \r
\n" ); document.write( "\n" ); document.write( "    - Elementary operations on sets help solving Probability problems \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic  \"Solved problems on Probability\". \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-II
\n" ); document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Consider these lessons as your textbook,  handbook,  a Solutions Manual,  tutorials and  (free of charge)  home teacher.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Happy learning (!)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );