"May vs "might": it's part of a worrying cascade misconception about probabilities; it's most likely to occur when the chances of this are vanishingly small, but the fallout is extreme.

This happening is next to impossible.
We cannot eliminate the possibility of this happening.
This happening is unlikely [so if it does happen, it hits the headlines].
This might happen.
This may happen.
This happening is likely.
We cannot eliminate the possibility that this will not happen.
This happening is next to inevitable.

In the first lecture of probability theory, a probability of 1 was defined (to much laughter) as "almost certain", and 0 as "almost never".