document.write( "Question 892771: A bag contain 6 red, 4 blue, 2 green and 3 yellow marbles.\r
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document.write( "If four marbles are picked at random,what is the probability that one is green, two are blue and one is red? \n" );
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Algebra.Com's Answer #540840 by AnlytcPhil(1806)![]() ![]() You can put this solution on YOUR website! a bag contain 6 red,4 blue,2 green and 3 yellow marbles. \n" ); document.write( " \r\n" ); document.write( " if four marbles are picked at random,what is the probability that one is green,two are blue and one is red?\r\n" ); document.write( "\r\n" ); document.write( "We can pick the 1 green marble any of C(2,1) = 2 ways.\r\n" ); document.write( "We can pick the 2 blue ones any of C(4,2) = 6 ways.\r\n" ); document.write( "We can pick the 1 red one any of C(6,1) = 6 ways.\r\n" ); document.write( "\r\n" ); document.write( "The number of ways we can pick that is 2*6*6 = 72\r\n" ); document.write( "\r\n" ); document.write( "That's the numerator of the probability.\r\n" ); document.write( "\r\n" ); document.write( "The denominator of the probability is the number of ways we can pick \r\n" ); document.write( "any 4 marbles out of the 6+4+2=12.\r\n" ); document.write( "\r\n" ); document.write( "That's C(12,4) = 495 ways.\r\n" ); document.write( "\r\n" ); document.write( "So the probabiloity is 72 successful ways out of 495 possible ways.\r\n" ); document.write( "\r\n" ); document.write( "Answer \n" ); document.write( " \n" ); document.write( " |