document.write( "Question 1140149: Out of 100 raffle tickets, 4 are marked with a prize. Matthew randomly selects two tickets from the box. What is the probabilty that Mathew gets exactly one of the prizes? \n" ); document.write( "

Algebra.Com's Answer #760651 by ikleyn(52879) $\"\"$ $\"About$

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document.write( "There are   =  = 4950 different pairs to form of 100 tickets (without looking on ordering inside these pairs).\r\n" );
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document.write( "It is the space of all samples.\r\n" );
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document.write( "Of them, exactly  4*(100-4) = 4*96 = 384 different pairs contain precisely one of 4 prize tickets.\r\n" );
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document.write( "So, the probability under the question is   = 0.07758 = 7.758%.\r\n" );
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