document.write( "Question 1118396: in a certain pet store, every third goldfish has long fin, and every fourth
\n" ); document.write( "goldfish has a long tail. if a fish is selected at a random from a tank of 120
\n" ); document.write( "fish, what is the probability that the fish will have long fins and a long tail? \n" ); document.write( "

Algebra.Com's Answer #733722 by Edwin McCravy(20065) $\"\"$ $\"About$

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in a certain pet store, every third goldfish has long fin, and every fourth
\n" ); document.write( "goldfish has a long tail. if a fish is selected at a random from a tank of 120
\n" ); document.write( "fish, what is the probability that the fish will have long fins and a long tail?
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document.write( "Fishes 3,6,9,12,...,120 have a long fin, \r\n" );
document.write( "i.e., fish numbered with multiples of 3.\r\n" );
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document.write( "Fishes 4,8,12,16,...,120 have a long tail.\r\n" );
document.write( "i.e., fish numbered with multiples of 4.\r\n" );
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document.write( "The fish that are in both categories are fish\r\n" );
document.write( "numberered with multiples of both 3 and 4, which\r\n" );
document.write( "are multiples of 3∙4, which is 12. So\r\n" );
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document.write( "Fishes 12,24,36,48,...,120 have both a long fin and\r\n" );
document.write( "a long tail.\r\n" );
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document.write( "Dividing each of these 12,24,36,48,...,120 by 12\r\n" );
document.write( "gives                   1, 2, 3, 4,..., 10\r\n" );
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document.write( "So 10 of the fish have both long fins and tails.\r\n" );
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document.write( "The probability that they have both is \r\n" );
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document.write( "10 out of 120 or 10÷120 = 10/120 = 1/12\r\n" );
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document.write( "Edwin

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