document.write( "Question 476756: A bag contains a total of 8 batteries of which 3 is defective. Selecting 3 at random without replacement, determine the probability that none of the batteries you select are good.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In how many different ways can the top 8 new indie bands be ranked on a top 8 list? The top hit song for each of the 8 bands will compete to recieve monetary awards of $1000 , $500 , & $250 respectively. How many ways can the awards be given out? \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #326887 by Edwin McCravy(20063) $\"\"$ $\"About$

You can put this solution on YOUR website!
A bag contains a total of 8 batteries of which 3 is defective.
\n" ); document.write( "Selecting 3 at random without replacement, determine the probability that none of the batteries you select are good.
\n" ); document.write( "

\r\n" );
document.write( "First we find the numerator of the probability:\r\n" );
document.write( "\r\n" );
document.write( "We have 3 good batteries and we must choose all 3.  \r\n" );
document.write( "That's \"3 choose 3\". So the numerator is 3C3 or 1.\r\n" );
document.write( "\r\n" );
document.write( "Next we find the denominator of the probability:\r\n" );
document.write( "\r\n" );
document.write( "We have 8 batteries and we must choose any 3.  \r\n" );
document.write( "That's \"8 choose 3\". So the denominator is 8C3 or 56.\r\n" );
document.write( "\r\n" );
document.write( "P(choosing all 3 bad batteries) =  \r\n" );
document.write( " \r\n" );
document.write( "Edwin

\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );