# Sevens Are Everywhere

The number $$7$$ appears everywhere. There are $$7$$ days in a week, $$7$$ wonders of the ancient world, and $$7$$ continents on the planet earth.

If a positive integer less than or equal to $$n$$ is chosen randomly, the probability that it contains a $$7$$ in it's decimal expansion is $$p_n.$$ As $$n$$ grows large, what does $$p_n$$ approach?

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