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If you pick a number xxx uniformly at random on the interval [0,1],[0,1],[0,1], what is the probability that ⌊log21x⌋\left\lfloor \log _{2}\frac{1}{x}\right\rfloor⌊log2x1⌋ is odd, to 3 significant figures?
Note: ⌊⋅⌋\lfloor \cdot \rfloor⌊⋅⌋ is the floor function.
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