I've learnt that continuous probability density functions can't describe the probability of a single value in the support, but only intervals, and I know how it can be proved. However what still confuses me is the fact the even if the probability of a single value is zero, that value can actually be picked up, thus it is not impossible. How can we explain this? Is it because the probability is not zero but in fact infinitesimal?
2026-03-29 19:11:06.1774811466
Why is the probability of a single value zero in a continuos pdf, yet it is not impossible?
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