document.write( "Question 1182753: A six-sided dice has the numbers 1,2,2,3,3 and 3 on its faces. Two such dice are rolled and a score is made by adding the numbers on the uppermost faces. The probability of rolling an odd score is? \n" ); document.write( "

Algebra.Com's Answer #812827 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Start preparing the quadratic table with the horizontal and vertical input\r\n" );
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document.write( "       1  2   2   3   3   3\r\n" );
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document.write( "    1\r\n" );
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document.write( "    2\r\n" );
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document.write( "    2\r\n" );
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document.write( "    3\r\n" );
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document.write( "    3\r\n" );
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document.write( "    3\r\n" );
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document.write( "The values in the cells of this table are \"scores\", that are the sums of the \r\n" );
document.write( "\"horizontal\" and \"vertical\" input values.\r\n" );
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document.write( "You should to find out the number of ODD values in the 36 cells of the table.\r\n" );
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document.write( "    +--------------------------------------------------------------+\r\n" );
document.write( "    |    But do not hurry to fill this table, adding the numbers.  |\r\n" );
document.write( "    |    We will solve the problem by another way.                 |\r\n" );
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document.write( "Part of odd values of the table are the sums of the vertical odd and horizontal even input values, \r\n" );
document.write( "and there are (1+3)*2 = 4*2 = 8 such cells in the table.\r\n" );
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document.write( "Another part of odd values of the table are the sums of the vertical even and horizontal odd input values, \r\n" );
document.write( "and there are 2*(1+3) = 2*4 = 8 such cells in the table.\r\n" );
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document.write( "Also, it is clear / (obvious)  that Part 1 and Part 2 cells are different (these sets are DISJOINT).\r\n" );
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document.write( "Thus, in all, there are 8+8 = 16 odd sums in the table,\r\n" );
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document.write( "giving the ANSWER for the probability  P =  = .\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "Notice that the (hidden) meaning of this problem is to give the answer WITHOUT making this stupid job \r
\n" ); document.write( "\n" ); document.write( " ADDING the numbers in the cells, and I managed to solve the problem in this way, explaining it to you.\r
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\n" ); document.write( "\n" ); document.write( "Do not forget to post your \"THANKS\" to me for my teaching.\r
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