Fair’s Fair ? When you throw a pair
of ordinary sixsided dice, and add their scores together you can get a total
ranging from 2 to 12. These scores occur with
probabilities shown by the ‘possibility space’ diagram below.
For example, a score of 10 can occur in three different ways out of the thirtysix ways possible, indicating a probability of
The Problem: One of the dice is adapted
slightly by changing the 2 to an 8. Can you adapt the second
dice so that they still perform in exactly the same way when thrown as a pair?
It does seem extremely unlikely, but strange things are possible in
Mathematics ! i.e. the probability of a total of 10 remains , as before, and similarly for all the other totals from 2 to 12. Open the File as a Word Document

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