document.write( "Question 1193711: A dice is a form of a tetrahedron and each spaces are marked 1,2,3,4. The score is the number on which the dice lands.Find the probability that when a tetrahedron is thrown the score is
\n" ); document.write( "(a) an even number;
\n" ); document.write( "(b) a prime number;
\n" ); document.write( "(c) if two tetrahedral dice is thrown, find the probability that the sum on the two scores is 5. \n" ); document.write( "

Algebra.Com's Answer #825757 by ikleyn(52813) $\"\"$ $\"About$

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\n" ); document.write( "A dice is a form of a tetrahedron and each spaces are marked 1,2,3,4.
\n" ); document.write( "The score is the number on which the dice lands.
\n" ); document.write( "Find the probability that when a tetrahedron is thrown the score is
\n" ); document.write( "(a) an even number;
\n" ); document.write( "(b) a prime number;
\n" ); document.write( "(c) if two tetrahedral dice $\"highlight%28cross%28is%29%29\"$ are thrown, find the probability that the sum $\"highlight%28cross%28on%29%29\"$ of the two scores is 5.
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document.write( "(a)  There are two favorable outcomes of total four possible outcomes.\r\n" );
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document.write( "     These favorable are landing 2 or 4.\r\n" );
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document.write( "     Therefore, the probability under question  (a)  is   =  = 0.5.     ANSWER\r\n" );
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document.write( "(b)  There are two favorable outcomes of total four possible outcomes.\r\n" );
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document.write( "     These favorable are landing on 2 or 3 (prime numbers).\r\n" );
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document.write( "     Therefore, the probability under question  (b)  is   =  = 0.5.     ANSWER\r\n" );
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document.write( "(c)  In all, there are 4*4 = 16 possible outcomes, that are the pairs (m,n),\r\n" );
document.write( "     where m and n are integer numbers from 1 to 4, inclusive.\r\n" );
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document.write( "     Of these 16 outcomes, the favorable are four pairs (1,4), (2,3), (3,2) and (4,1).\r\n" );
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document.write( "     Thus, there are four favorable outcomes of total 16 possible outcomes.\r\n" );
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document.write( "     Therefore, the probability under question  (c)  is   = .     ANSWER\r\n" );
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