Use renewal theory for approximation.

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I am confused about how to use renewal theory finding approximations required in the following questions. The questions are:

A fair 4-sided die has sides labelled 1,2,3,4. Let $Y_n$ equal the product of the first n rolls.
Let N be the first n for which $Y_n$ > $10^{100}$.

  1. Use renewal theory to find a very good approximation to $E(N)$.
  2. Find the approximate probability that there is no n for which 1,000,000 < $Y_n$ < 2,000,000.

Anyone have a good idea of how to construct a renewal process that make sense, I feel like I can't find a good way to do this.