document.write( "Question 1193150: Suppose you roll a pair of six-sided dice and add their totals.\r
\n" ); document.write( "\n" ); document.write( "1. What is the probability that the sum of the numbers on your dice is an even number or a number less than 6?\r
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Algebra.Com's Answer #825161 by ikleyn(52786) $\"\"$ $\"About$

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\n" ); document.write( "Suppose you roll a pair of six-sided dice and add their totals.
\n" ); document.write( "1. What is the probability that the sum of the numbers on your dice is an even number or a number less than 6?
\n" ); document.write( "2. What is the probability that the sum of the numbers on your dice is a prime number or a number greater than 5?
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\n" ); document.write( "\n" ); document.write( " Solution to part (1)\r
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document.write( "When rolling a pair of dice, there are 36 possible outcomes, in all, each with probability of  .\r\n" );
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document.write( "Of them, favorable are those pairs where the sum of numbers is 2, 3, 4, 5, 6, 8, 10 or 12.\r\n" );
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document.write( "    With the sum of  2, there is  1 pair,   (1,1).\r\n" );
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document.write( "    With the sum of  3, there are 2 pairs.  (1,2) and (2,1).\r\n" );
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document.write( "    With the sum of  4, there are 3 pairs.  (1,3), (2,2), (3,1).\r\n" );
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document.write( "    With the sum of  5, there are 4 pairs.\r\n" );
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document.write( "    With the sum of  6, there are 5 pairs.\r\n" );
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document.write( "    With the sum of  8, there are 5 pairs.\r\n" );
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document.write( "    With the sum of 10, there are 3 pairs.\r\n" );
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document.write( "    With the sum of 12, there is  1 pair.\r\n" );
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document.write( "In total, there are  1 + 2 + 3 + 4 + 5 + 5 + 3 + 1 = 24 favorable pairs.\r\n" );
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document.write( "So the probability is  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( "Solve the other part of the problem in a similar way. \r
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\n" ); document.write( "\n" ); document.write( "If you want to learn nore about this subject and this class of problems, look into the lesson\r
\n" ); document.write( "\n" ); document.write( " - Rolling a pair of fair dice \r
\n" ); document.write( "\n" ); document.write( "in this site. You will find there many similar solved problems.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( " - ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic \"Solved problems on Probability\". \r
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\n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-II
\n" ); document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r
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