document.write( "Question 26843: Don't get this one :(\r
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document.write( "A bag contains 6 red marbles, 9 blue marbles, and 5 green marbles. You withdraw one marble, replace it, and then withdraw another marble. What is the probability that you do NOT pick two green marbles? \n" );
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Algebra.Com's Answer #14604 by AnlytcPhil(1806)![]() ![]() You can put this solution on YOUR website! A bag contains 6 red marbles, 9 blue marbles, and 5 green marbles. You withdraw\r\n" ); document.write( "one marble, replace it, and then withdraw another marble. What is the\r\n" ); document.write( "probability that you do NOT pick two green marbles?\r\n" ); document.write( "\r\n" ); document.write( "We calculate this by first calculating the probability of FAILURE. Then we\r\n" ); document.write( "used Probability of SUCCESS = 1 - Probability of FAILURE.\r\n" ); document.write( "\r\n" ); document.write( "In order to FAIL, we must pick both marbles green.\r\n" ); document.write( "\r\n" ); document.write( "The probability of picking the first marble green = \r\n" ); document.write( "\r\n" ); document.write( "5 green marbles/(20 marbles) = 1/4\r\n" ); document.write( "\r\n" ); document.write( "So 1/4 of the times we perform the experiment we will get a green marble first.\r\n" ); document.write( "\r\n" ); document.write( "Now of those 1/4 of the times we do the experiment and get a green marble the\r\n" ); document.write( "first time, 1/4 of those times we will also get a green marble the second time.\r\n" ); document.write( "\r\n" ); document.write( "So that's 1/4 of 1/4 or 1/16 \r\n" ); document.write( "\r\n" ); document.write( "So the probability of FAILING (getting a green marbles both times) is 1/16\r\n" ); document.write( "\r\n" ); document.write( "Therefore the probability of SUCCEEDING (not getting a green marble both\r\n" ); document.write( "times) = 1 - 1/16 or 15/16\r\n" ); document.write( "\r\n" ); document.write( "Edwin\r\n" ); document.write( "AnlytcPhil@aol.com\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |