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The original was posted on /r/explainlikeimfive by /u/Lucid_Dynamic on 2023-07-18 11:28:04.

To preface, some events have probability 0, yet it is possible for them to occur. This, I can understand. If you pick a random number off the entire number line, the chance of getting any particular number is infinitely small, and an infinitely small number is zero. It’s not effectively zero. An infinitely small number literally IS zero. But you will end up with a number off the number line, so, some 0 probability events are possible. All of this I can understand. However, if you were to roll a six sided die, the chance of rolling a seven is zero. You can roll it infinitely many times, and you will never roll a seven. That probability zero and the other probability zero are the same zero. They aren’t different kinds of zeros. It’s the same value. How can one be possible and the other not?