Sunday, May 22, 2011

Sum of two dice

2 .................. 1+1 .................................................1/36
3 ...................1+2, 2+1 ..........................................2/36
4 ...................1+3, 2+2, 3+1 ..................................3/36
5 ...................1+4, 2+3, 3+2, 4+1 .........................4/36
6 ...................1+5, 2+4, 3+3, 4+2, 5+1 .................5/36
7 ...................1+6, 2+5, 3+4, 4+3, 5+2, 6+1 ..........6/36
8 ...................2+6, 3+5, 4+4, 5+3, 6+2 .................5/36
9 ...................3+6, 4+5, 5+4, 6+3 ........................4/36
10 ..................4+6, 5+5, 6+4 ................................3/36
11 ..................5+6, 6+5 .........................................2/36
12 ..................6+6 ..................................................1/36

Is it possible to load the dice in such a way that these eleven scores are equally probable?

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