Question: Suppose you start with x = 1 and append random digits in [0..9] to the end of x until x is even or x has

Suppose you start with x = 1 and append random digits in [0..9] to the end of x until x is even or x has 6 digits.What is the expected number of digits in x at the end of this process?

Example: 335353353135312.

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