document.write( "Question 1204883: A bag contains of 45 markers of which 15 are pink. If you select 2 at random, without replacement, find the probability that:
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Algebra.Com's Answer #841419 by ikleyn(52847)\"\" \"About 
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\n" ); document.write( "A bag contains \"highlight%28cross%28of%29%29\" 45 markers of which 15 are pink. If you select 2 at random,
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document.write( "(a)  The total number of all possible pairs is  \"C%5B45%5D%5E2\" = \"%2845%2A44%29%2F2\" = 990.\r\n" );
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document.write( "     If neither of randomly selected markers is pink, it means that all selected pairs are not pink.\r\n" );
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document.write( "     It means that they are from the set of 45-15 = 30 non-pink markers.\r\n" );
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document.write( "     The number of such pairs is  \"C%5B30%5D%5E2\" = \"%2830%2A29%29%2F2\" = 435.\r\n" );
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document.write( "     The probability \"neither is pink\" is the ratio  \"P%5B%28a%29%5D\" = \"435%2F990\" = \"29%2F66\".    ANSWER\r\n" );
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document.write( "(b) This probability is the complement to the probability found in (a)\r\n" );
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document.write( "         \"P%5B%28b%29%5D\" = 1 - \"P%5B%28a%29%5D\" = 1 - \"29%2F66\" = \"%2866-29%29%2F66\" = \"37%2F66\".    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Using complementary probability is very productive method for solving many similar problems.\r
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\n" ); document.write( "\n" ); document.write( "To see many other similar  (and different)  solved problems of this type,  look into the lessons\r
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\n" ); document.write( "\n" ); document.write( "    - Solving probability problems using complementary probability REVISITED \r
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