Please, please help. Suppose you can replace one of the number cubes with a nonstandard number cube, where any of the numbers 1 through 6 can appear on multiple faces.
How can you arrange the numbers on the nonstandard cube so that the mean of the rolls is the same as that of two standard number cubes, but that the standard deviation is as large as possible? What is this largest standard deviation
value?
The mean of of the rolls of two standard cubes in 7.

Question

Please, please help. Suppose you can replace one of the number cubes with a nonstandard number cube, where any of the numbers 1 through 6 can appear on multiple faces.
How can you arrange the numbers on the nonstandard cube so that the mean of the rolls is the same as that of two standard number cubes, but that the standard deviation is as large as possible?  What is this largest standard deviation 
value?
The mean of of the rolls of two standard cubes in 7.

kropot72 · Answer

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