document.write( "Question 1115053: whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing three red marbles, four green ones, three white ones, and two purple ones. She grabs five of them. Find the probability of the following event, expressing it as a fraction in lowest terms.
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document.write( "She has two red ones and one of each of the other colors. \n" );
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Algebra.Com's Answer #730000 by math_helper(2461) You can put this solution on YOUR website! P = P(2Red+1Green+1White+1Purple) = (# of ways this can happen) / (# ways of selecting 5 marbles)\r \n" ); document.write( "\n" ); document.write( "Total marbles = 3+4+3+2 = 12 \n" ); document.write( "# ways of selecting 5 from 12: 12C5 = 792 \r \n" ); document.write( "\n" ); document.write( "# ways of selecting 2Red, 1Green, 1White, 1Purple: 3C2 * 4C1 * 3C1 * 2C1 = 3*4*3*2 = 72 \r \n" ); document.write( "\n" ); document.write( "P = 72/792 = \n" ); document.write( "\n" ); document.write( "—\r \n" ); document.write( "\n" ); document.write( "While I think this is correct, a 2nd opinion might be a good idea. \n" ); document.write( " \n" ); document.write( " |