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In device-independent certified randomness from the CHSH scenario, the adversary's guessing probability obeys Pguess≤(1/2)(1+2−S2/4)P_{guess} \le (1/2)(1 + \sqrt{2 - S^2/4}). At the maximal (Tsirelson) violation S=22S = 2\sqrt{2}, how much fresh certified randomness (min-entropy Hmin=−log⁡2(Pguess)H_{min} = -\log_2(P_{guess})) is forced in Alice's single binary outcome?