Question: A fair dice is rolled repeatedly, until the running total is at least 100 (at which point the rolling stops). Find the most likely value

A fair dice is rolled repeatedly, until the running total is at least 100 (at which point the rolling stops). Find the most likely value of the final running total (i.e., the value of the running total at the first time when it is at least 100).

Hint: Consider the possibilities for what the running total is just before the last roll.

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