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why probability of 0 does not mean impossible probabilities of probabilities part 2
Bookmarked 339 weeks ago an introduction to probability density functionshome page: https:www3blue1browncombrought to you by you: http:3b1bcothankscurious about measure theory this does require some background in real analysis but if you want to dig in here is a textbook by the always great terence taohttps:terrytaofileswordpresscom201101measure-book1pdfalso for the real analysis buffs among you there was one statement i made in this video that is a rather nice puzzle namely if the probabilities for each value in a given range of the real number line are all non-zero no matter how small their sum will be infinite this isn039t immediately obvious given that you can have convergent sums of countable infinitely many values but if you039re up for it see if you can prove that the sum of any uncountable infinite collection of positive values must blow up to infinity------------------these animations are largely made using manim a scrappy open source python library: https:githubcom3b1bm |
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