document.write( "Question 540961: Let a fair die be rolled n times. Let’s make an assumption that all rolls of a die are independent. If x and y are the outcomes of any two of n trials, what is the distribution function of XY?
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Algebra.Com's Answer #353975 by AnlytcPhil(1807) $\"\"$ $\"About$

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Let a fair die be rolled n times. Let’s make an assumption that all rolls of a die are independent. If x and y are the outcomes of any two of n trials, what is the distribution function of XY
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document.write( "1×1=1  1×2=2  1×3=3  1×4=4  1×5=5  1×6=6\r\n" );
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document.write( "2×1=2  2×2=4  2×3=6  2×4=8  2×5=10 2×6=12\r\n" );
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document.write( "3×1=3  3×2=6  3×3=9  3×4=12 3×5=15 3×6=18\r\n" );
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document.write( "4×1=4  4×2=8  4×3=12 4×4=16 4×5=20 4×6=24\r\n" );
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document.write( "5×1=5  5×2=10 5×3=15 5×4=20 5×5=25 5×6=30\r\n" );
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document.write( "6×1=6  6×2=12 6×3=18 6×4=24 6×5=30 6×6=36\r\n" );
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document.write( "The products are 1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,30,36\r\n" );
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document.write( "XY   no. of ways   P(xy)\r\n" );
document.write( " 1       1         1/36\r\n" );
document.write( " 2       2         2/36\r\n" );
document.write( " 3       2         2/36\r\n" );
document.write( " 4       3         3/36\r\n" );
document.write( " 5       2         2/36\r\n" );
document.write( " 6       4         4/36\r\n" );
document.write( " 8       2         2/36\r\n" );
document.write( " 9       1         1/36\r\n" );
document.write( "10       2         2/36\r\n" );
document.write( "12       4         4/36\r\n" );
document.write( "15       2         2/36\r\n" );
document.write( "16       1         1/36\r\n" );
document.write( "18       2         2/36\r\n" );
document.write( "20       2         2/36\r\n" );
document.write( "24       2         2/36\r\n" );
document.write( "25       1         1/36\r\n" );
document.write( "30       2         2/36\r\n" );
document.write( "36       1         1/36\r\n" );
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document.write( "Edwin

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