Two ordinary fair dice are rolled and the two faces on which they come to rest are

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Two ordinary fair dice are rolled and the two faces on which they come to rest are hidden by holding the dice together, as shown, and lifted off the table.


The sum of the numbers on the 10 visible faces of the dice is denoted by T.

a. Find the number of possible values of T, and find the most likely value of T.

b Calculate the probability that T ≤ 38.

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