If $z_{1}, \dots, z_{n} \in C$ with $∣ z_{i} ∣ = 1$ then is it true that the probability that $∣ ϵ_{1} z_{1} + \dots + ϵ_{n} z_{n} ∣ \leq 2,$ where $ϵ_{i} \in {- 1, 1}$ uniformly at random, is $≫ 1/ n$ ?

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