document.write( "Question 1203255: In a group of 100 people, 40 own a cat, 25 own a dog and 15 own a cat and a dog. Find the probability that the person chosen at random
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Algebra.Com's Answer #838679 by ikleyn(52834) $\"\"$ $\"About$

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\n" ); document.write( "In a group of 100 people, 40 own a cat, 25 own a dog and 15 own a cat and a dog.
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document.write( "The preliminary analysis:\r\n" );
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document.write( "    (1)  own a dog or a cat  40 + 25 - 15 = 50.\r\n" );
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document.write( "    (2)  own a dog or a cat, but not both: subtract 15 (that own both) from 50 (that own dog or cat; see (1) )\r\n" );
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document.write( "               50-15 = 35.\r\n" );
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document.write( "Therefore, the answers for (a) and (b) are\r\n" );
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document.write( "     question (a)  P =  =  = 0.5 = 50%.     ANSWER\r\n" );
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document.write( "     question (b)  P =  =  = 0.35 = 35%.   ANSWER\r\n" );
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document.write( "(c)  In the set of owing a cat, you are looking for the part owing a cat.\r\n" );
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document.write( "     The probability is  P =  =  =  = 0.3 = 30%.    ANSWER\r\n" );
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document.write( "(d)  From the set \"own a dog\", subtract the subset \"own both\"  25-15 = 10.\r\n" );
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document.write( "     The probability is  P =  =  = 0.4 = 40%.    ANSWER\r\n" );
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