document.write( "Question 1119808: eith’s Florists has 15 delivery trucks, used mainly to deliver flowers and flower arrangements in the Greenville, South Carolina, area. Of these 15 trucks, 7 have brake problems. A sample of 6 trucks is randomly selected. What is the probability that 2 of those tested have defective brakes? (Round your answer to 4 decimal places.) \n" ); document.write( "
Algebra.Com's Answer #735432 by ikleyn(52803)\"\" \"About 
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\n" ); document.write( "\"highlight%28cross%28eiths%29%29\" Keith's Florists has 15 delivery trucks, used mainly to deliver flowers and flower arrangements
\n" ); document.write( "in the Greenville, South Carolina, area. Of these 15 trucks, 7 have brake problems.
\n" ); document.write( "A sample of 6 trucks is randomly selected. What is the probability that 2 of those tested have defective brakes?
\n" ); document.write( "(Round your answer to 4 decimal places.)
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document.write( "This probability is this ratio  \"%28C%5B7%5D%5E2%2AC%5B8%5D%5E4%29%2FC%5B15%5D%5E6\".\r\n" );
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document.write( "We start choosing 2 defective cars among of 7 defective. It can be done in \"C%5B7%5D%5E2\" = \"%287%2A6%29%2F2\" = 21 ways.\r\n" );
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document.write( "We complement 2 defective cars to 6 by adding 4 regular cars from 8 = 15-7 regular cars.  It can be done by \"C%5B8%5D%5E4\" = \"%288%2A7%2A6%2A5%29%2F%281%2A2%2A3%2A4%29\" = 70 ways.\r\n" );
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document.write( "The total number of ways to choose 6 cars of 15 is  \"C%5B15%5D%5E6\" = \"%2815%2A14%2A13%2A12%2A11%2A10%29%2F%281%2A2%2A3%2A4%2A5%2A6%29\" = 5005.\r\n" );
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document.write( "Thus the probability under the question is  \"%2821%2A70%29%2F5005\" = 0.2937 = 29.37%.\r\n" );
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