document.write( "Question 1062416: A box contains 6 red, 4 white and 5 black balls. A person draws 4 balls from the box at random. Find the probability that among the balls drawn there is at least one ball of each color? \n" ); document.write( "
Algebra.Com's Answer #677342 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
A box contains 6 red, 4 white and 5 black balls. A person draws 4 balls from the box at random. Find the probability that among the balls drawn there is at least one ball of each color?
\n" ); document.write( "# of ways to get 4 balls:: 15C4 = 1365
\n" ); document.write( "----
\n" ); document.write( "# of ways to get 4 balls with no two of the same color::
\n" ); document.write( " # of red/white + red/black + white/black
\n" ); document.write( "10C4 + 11C4 + 9C4 = 210 + 330 + 126 = 666 ways
\n" ); document.write( "-----
\n" ); document.write( "# of ways to get 4 balls WITH some balls of the same color:: 1365-666 = 699
\n" ); document.write( "---
\n" ); document.write( "P(4 with at least one of each color) = 699/1365
\n" ); document.write( "-----
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "--------------\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );