The snake and a ladder

In a game of a snake and a ladder, the snake is to move up the ladder of 35 steps. If the number of steps the snake takes up the ladder is determined by a fair six-sided die such that if the number shown on the die is \(n\) , the snake takes \(n\) steps up the ladder.

What is the expected number of die-throws for the snake to reach its destination?

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