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Measure induced on [0, 1] by infinite tosses of biased coin

Just a side comment: if you pass from binary to trinary, you can still obtain the Lebesgue measure by choosing the digits $0$, $1$, $2$, with probabilities $(\frac{1}{3},\frac{1}{3},\frac{1}{3})$ (som …
Serguei Popov's user avatar