document.write( "Question 1135862: An integer is chosen at random from the first 200 positive integers.If the integer chosen is divisible by 5, find the probability that it is even. \n" ); document.write( "

Algebra.Com's Answer #753577 by ikleyn(52787) $\"\"$ $\"About$

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document.write( "Let N be the set of positive integers between 1 and 200, inclusively.\r\n" );
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document.write( "So, N contains exactly 200 elements.\r\n" );
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document.write( "Let F be the set of positive integers from 1 to 200 inclusively that are divisible by 5.\r\n" );
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document.write( "The number of such integers is   = 40;  so the number of elements in the set F is 40.\r\n" );
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document.write( "Of this set F, exactly HALF of its elements are even: in other words, in the set F 20 elements are even.\r\n" );
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document.write( "The problem asks: If the randomly chosen integer from N belongs to F, what is the probability that it is even.\r\n" );
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document.write( "Since exactly half of all elements of F are even, the answer to this question is obvious:  this probability is  .\r\n" );
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