document.write( "Question 1174469: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing two red marbles, four green ones, three white ones, and two purple ones. She grabs six of them. Find the probability of the following event, expressing it as a fraction in lowest terms.
\n" ); document.write( "She does not have all the red ones. \n" ); document.write( "

Algebra.Com's Answer #799890 by ikleyn(52864) $\"\"$ $\"About$

You can put this solution on YOUR website!
'
\n" ); document.write( "Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing
\n" ); document.write( "two red marbles, four green ones, three white ones, and two purple ones. She grabs six of them.
\n" ); document.write( "Find the probability of the following event, expressing it as a fraction in lowest terms.
\n" ); document.write( "She does not have all the red ones.
\n" ); document.write( "~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "There are  2 + 4 + 3 + 2 = 11 marbles, in total.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "There are  11-2 = 9 of them, EXCLUDING two red marbles (the set NR = NotRed)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The number of all possible 6-ples is    =  = 462.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "If 6-ple does not have all the red ones, it means that this 6-ple is taken from the set of 9 NotRed.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "There are    =   = 84 such 6-ples.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The probability under the problem's question is  P =  = .    ANSWER\r\n" );
document.write( "

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

\n" );