The probability that one will get the required result on the next roll as described in the game is; 1/36.
What is the probability of getting the required roll to secure a win in the game?
It follows from the task content that to secure a win in the back gammon game using the standard dice, one must roll double threes.
Hence, the probability of such result to occur can be evaluated as follows;
P (double threes) = 1/6 × 1/6
= 1/36.
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