[0,1] with Lebesgue measure can be considered as a probability space. Measure of irrational numbers (respectively transcendentals) in [0,1] is 1. Probability of an event being 1 is a sure event. So choosen any random number from [0,1], will it be irrational (respectively transcendental)?
2026-03-28 23:55:47.1774742147
Probability and measure
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