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The key word is: successful attempts.
In general, the probability itself always remains unchanged, set in advance. Everything else is just deviations from the norm, which are balanced by its arbitrary fluctuation in either direction. In other words, it only changes for you personally at this specific point in time relative to all previous attempts. A probability of 5% means that, ideally, out of one hundred people, five will go to the next world, that is, every twentieth person, and this truth will not change much. Well, yes, once four people will die, another time six, it doesn't really matter. However, if only two people have died before you, and you are the ninety-ninth, your chances are not very good, although they exist.
The more the total number of attempts (regardless of the result), the stronger the probability will tend towards its initially set value. In four coin flips, you may get one side three times, but this will not mean that the real probability of it appearing is 75% to 25%, whereas with a million flips, the deviation from the norm will be very small, something like 50.1% to 49.9%. We are talking about the increase in probability in your situation only due to your incredible luck, because of which it naturally begins to grow in order to finally get rid of you and return to the required 5%. And only the notorious factor of supposedly possible "infinite" luck prevents it from guaranteeing your death.