document.write( "Question 1195012: There are 15 glass vases sold in an antique shop and 6 of them are slightly cracked. What is the chance that when a customer buys 5 vases 3 of them will be cracked? \n" ); document.write( "

Algebra.Com's Answer #827350 by ikleyn(52776) $\"\"$ $\"About$

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\n" ); document.write( "There are 15 glass vases sold in an antique shop and 6 of them are slightly cracked.
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document.write( "Of 15 glass vases, 6 are cracked and 15-6 = 9 are not.\r\n" );
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document.write( "To answer the question, we should calculate the number of all possible 5-vase subsets \r\n" );
document.write( "in the set of 15 vases, and then relate it to the number of all possible subsets\r\n" );
document.write( "of 5 vases, comprising of 3 cracked and 2 good vases.\r\n" );
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document.write( "The number of all possible 5-vase subsets in the set of 15 vases is \r\n" );
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document.write( "     =  =  = 3003.\r\n" );
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document.write( "The number of all possible 5-vase subsets comprising of 3 cracked and 2 good vases is\r\n" );
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document.write( "     = 20*36 = 720.\r\n" );
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document.write( "Therefore, the sough probability is  \r\n" );
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document.write( "    P =  =  =  = 0.23976  (rounded).    ANSWER\r\n" );
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