Algebra.Com's Answer #834734 by ikleyn(52781)![\"\"](\"/images/stars/stars-13.gif\")  
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document.write( "A company has a 20-person grievance committee. When a grievance is filed, three of these
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document.write( "20 people are chosen at random to serve on a hearing panel. Suppose that two  panels are
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document.write( "formed. What is the probability that these panels have at least one member in common?
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document.write( "First panel can be formed in  =  = 1140 different ways.\r\n" );
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document.write( "Second panel can be formed in = = 1140 different ways.\r\n" );
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document.write( "Two panels can be formed in  =  different ways. (1)\r\n" );
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document.write( "Two panels that are not intersect (have empty intersections) can be formed in \r\n" );
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document.write( "  =  = 1140*680 different ways. (2)\r\n" );
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document.write( "The probability that two panels have no intersection (have empty intersection) \r\n" );
document.write( "is the ratio of number (2) to number (1)\r\n" );
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document.write( " P =  =  =  = 0.5965 (rounded). \r\n" );
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document.write( "The probability under the problem's question is the COMPLEMENT to it \r\n" );
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document.write( " P' = 1 - 0.5965 = 0.4035. ANSWER\r\n" );
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document.write( "Solved.\r
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