document.write( "Question 1201644: Find the probability that the sum is as stated when a pair of dice is rolled. (Enter your answers as fractions.)\r
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Algebra.Com's Answer #853496 by ikleyn(53547)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "Find the probability that the sum is as stated when a pair of dice is rolled. (Enter your answers as fractions.)
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\n" ); document.write( "\n" ); document.write( "        The answers and the logic in the post by @mananth both are incorrect for both  (a)  and  (b).\r
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\n" ); document.write( "\n" ); document.write( "        I came to bring correct answers with explanations.\r
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document.write( "(a) even AND doubles.\r\n" );
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document.write( "    The condition says to count the pairs that are doubles and have even sum.\r\n" );
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document.write( "    This intersection of two conditions consists of 6 outcomes\r\n" );
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document.write( "        (1,1), (2,2), (3,3), (4,4), (5,5) and (6,6).\r\n" );
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document.write( "    Notice that under this condition, each double pair has an even sum.\r\n" );
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document.write( "    So, in case (a)  the probability is  6/36 = 1/6.    <<<---===  ANSWER\r\n" );
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document.write( "(b) even or doubles\r\n" );
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document.write( "    The number of outcomes with even sum is 36/2 = 18.\r\n" );
document.write( "    It is clear from symmetry.\r\n" );
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document.write( "    All doubles have even sum, so they fall into the even category.\r\n" );
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document.write( "    Thus, in case (b), the probability is  18/36 = 1/2.    <<<---===  ANSWER\r\n" );
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A notice to the visitor / to the creator of this problem

        The problem formulation is provocatively incorrect.\r
\n" ); document.write( "\n" ); document.write( "        A correct formulation should be like THIS\r
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\n" ); document.write( "\n" ); document.write( "                Find the probability that the conditions are satisfied when a pair of dice is rolled. \r
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\n" ); document.write( "\n" ); document.write( "Professional Math writers NEVER create provocative formulations, because their goal is not to confuse, but, in opposite - to teach.\r
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\n" ); document.write( "\n" ); document.write( "Provocative formulations are the product of those unprofessional writers, whose goal is to confuse, but not to teach.\r
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\n" ); document.write( "\n" ); document.write( "Do you feel the difference ? ?\r
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