Write X_n=(2B_n−1)/2ⁿ with iid Bernoulli(1/2) digits. The absolutely convergent infinite sum is 2ΣB_n/2ⁿ−1. Its binary-digit series is uniform(0,1), so U is uniform(−1,1). Therefore P(U≤2/3)=(2/3+1)/2=5/6, giving **5**.
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