Probably interesting to note that this is almost always true of weighted randomness. If you have something that you consider to be over 50% towards your desire

Probably interesting to note that this is almost always true of weighted randomness. If you have something that you consider to be over 50% towards your desired result, reducing the space of the result has a higher chance of removing the negative factor than the positive. In contrast, any case that the algorithm is less than 100% capable of producing the positive factor, adding on to the result could always increase the negative factor more than the positive, given a finite time constraint (aka any reasonable non-theoretical application).