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)![]() ![]() ![]() 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( " |