document.write( "Question 824306: Cud you help me solve this question\r
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document.write( "An urn contains 9 blue, 7 white and 4 black balls. If 2 balls are drawn at random, then what is the probability that only one ball is white?\r
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document.write( "Many thanks... \n" );
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Algebra.Com's Answer #496284 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Cud you help me solve this question \n" ); document.write( "An urn contains 9 blue, 7 white and 4 black balls. If 2 balls are drawn at random, then what is the probability that only one ball is white? \n" ); document.write( "---- \n" ); document.write( "One Method:: \n" ); document.write( "# of ways to succeed: 7*13 = 91 \n" ); document.write( "# of random pairs: 20C2 = 190 \n" ); document.write( "P(one white) = 91/190 \n" ); document.write( "---- \n" ); document.write( "A Second Method:: \n" ); document.write( "P(2 white) = 7C2/20C2 = 21/190 \n" ); document.write( "P(2non-white) = 13C2/20C2 = 78/190 \n" ); document.write( "P(one white) = 1 - [(21+78)/20C2] = 1 - 99/190 = 91/190 \n" ); document.write( "----------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |