Question: Roll a fair six-sided die repeatedly until you roll the same number 3 times in a row. On average, how many rolls does it take

Roll a fair six-sided die repeatedly until you roll the same number 3 times in a row. On average, how many rolls does it take to get the same number repeated three times in a row?

Roll a fair six-sided die repeatedly until you roll the same number

As an example, if I rolled 1, 6, 6, 2, 3, 5, 3, 1, 1, 1 then it took 10 rolls to get the same number repeated three times in a

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