+1911 +1911 +1911 +39 +400 +400 +400 Jan 21, 2024

+688 +688 +688 +688 +688 +688 +1678 Sam writes down the numbers $1,$ $2,$ $\dots,$ $315,$ $316,$ $317,$ $\dots,$ $248,$ $249,$ $250.$

(a) How many digits did Sam write, in total?

(b) Sam chooses one of the digits written down at random. What is the probability
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