document.write( "Question 588272: In a drawing of six numbers using the same balls numbered 0 to 9, what are the odds that the same number will be drawn twice?\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #374432 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
In a drawing of six numbers using the same balls numbered 0 to 9, what are the
\n" ); document.write( "odds that the same number will be drawn twice?
\n" ); document.write( "
\r\n" );
document.write( "The number of failures is the number of permutations of 9 things taken 6 at a\r\n" );
document.write( "time, or P(9,6) = 9·8·7·6·5·4 = 60480\r\n" );
document.write( "\r\n" );
document.write( "The number of possible sequences of 6 is 9·9·9·9·9·9 = 96\r\n" );
document.write( "\r\n" );
document.write( "The number of successes is 96 - P(9,6) = 531441 - 60480 = 470961 \r\n" );
document.write( "\r\n" );
document.write( "So The odds in favor = (number of successes):(number of failures) =\r\n" );
document.write( "\r\n" );
document.write( "470961:60480\r\n" );
document.write( "\r\n" );
document.write( "which reduces to \r\n" );
document.write( "\r\n" );
document.write( "17443:2240\r\n" );
document.write( "\r\n" );
document.write( "or about 7.8 to 1\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );