Cell block dice simulation

MizzUnderStood

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Oct 5, 2006
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Hi, there's this problem I'm trying to work out. I was wondering if anyone could please help me?

Here it is:

A cell block of six cells numbered 0 to 5 contains 12 prisoners. Two prisoners are in each cell.

The jailer decides to celebrate his b'day by releasing a number of prisoners.

He rolls two dice and calculates the difference between the two uppermost numbers. He then releases one prisoner from the cell whose number matches the difference,

He does this twelve times.

How would you organise the prisoners into the cells to maximise the number of prisoners released?
 
What are the different possible roll results?

What are the differences of these results?

Which values occur most often?

Eliz.
 
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