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A fair die is rolled repeatedly. The probability that the cumulative sum is at least 17 in the third trial is
Cumulative sum after 3 rolls is $$\geq 17$$, with each die $$\in \{1, \ldots, 6\}$$.
Favourable triples:
Total favourable $$= 4$$, total outcomes $$= 216$$. Probability $$= \dfrac{4}{216} = \dfrac{1}{54}$$.
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